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Finding the Third Proportional to 1,741,398.75 and 2,689,736.63

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Solution

The third proportional to 1,741,398.75 and 2,689,736.63 is: 4,154,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,398.75 : 2,689,736.63 = 2,689,736.63 : x
  2. Step 2: Convert to fraction form
    1,741,398.75/2,689,736.63 = 2,689,736.63/x
  3. Step 3: Cross multiply
    1,741,398.75x = 2,689,736.63 × 2,689,736.63
  4. Step 4: Simplify right side
    1,741,398.75x = 7,234,683,111,866.39
  5. Step 5: Solve for x
    x = 7,234,683,111,866.39/1,741,398.75
  6. Step 6: Final answer
    x = 4,154,524.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.