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Finding the Third Proportional to 745,354 and 1,053,663

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Solution

The third proportional to 745,354 and 1,053,663 is: 1,489,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,354 : 1,053,663 = 1,053,663 : x
  2. Step 2: Convert to fraction form
    745,354/1,053,663 = 1,053,663/x
  3. Step 3: Cross multiply
    745,354x = 1,053,663 × 1,053,663
  4. Step 4: Simplify right side
    745,354x = 1,110,205,717,569
  5. Step 5: Solve for x
    x = 1,110,205,717,569/745,354
  6. Step 6: Final answer
    x = 1,489,501.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.