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Finding the Third Proportional to 752,169 and 1,587,363

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Solution

The third proportional to 752,169 and 1,587,363 is: 3,349,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,169 : 1,587,363 = 1,587,363 : x
  2. Step 2: Convert to fraction form
    752,169/1,587,363 = 1,587,363/x
  3. Step 3: Cross multiply
    752,169x = 1,587,363 × 1,587,363
  4. Step 4: Simplify right side
    752,169x = 2,519,721,293,769
  5. Step 5: Solve for x
    x = 2,519,721,293,769/752,169
  6. Step 6: Final answer
    x = 3,349,940.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.