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Finding the Third Proportional to 674,449,309.69 and 1,011,673,896.19

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Solution

The third proportional to 674,449,309.69 and 1,011,673,896.19 is: 1,517,510,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,449,309.69 : 1,011,673,896.19 = 1,011,673,896.19 : x
  2. Step 2: Convert to fraction form
    674,449,309.69/1,011,673,896.19 = 1,011,673,896.19/x
  3. Step 3: Cross multiply
    674,449,309.69x = 1,011,673,896.19 × 1,011,673,896.19
  4. Step 4: Simplify right side
    674,449,309.69x = 1,023,484,072,227,196,544
  5. Step 5: Solve for x
    x = 1,023,484,072,227,196,544/674,449,309.69
  6. Step 6: Final answer
    x = 1,517,510,741.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.