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Finding the Third Proportional to 839,430 and 1,832,527.13

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Solution

The third proportional to 839,430 and 1,832,527.13 is: 4,000,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,430 : 1,832,527.13 = 1,832,527.13 : x
  2. Step 2: Convert to fraction form
    839,430/1,832,527.13 = 1,832,527.13/x
  3. Step 3: Cross multiply
    839,430x = 1,832,527.13 × 1,832,527.13
  4. Step 4: Simplify right side
    839,430x = 3,358,155,663,860.77
  5. Step 5: Solve for x
    x = 3,358,155,663,860.77/839,430
  6. Step 6: Final answer
    x = 4,000,519.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.