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Finding the Third Proportional to 735,480 and 1,143,531

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Solution

The third proportional to 735,480 and 1,143,531 is: 1,777,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,480 : 1,143,531 = 1,143,531 : x
  2. Step 2: Convert to fraction form
    735,480/1,143,531 = 1,143,531/x
  3. Step 3: Cross multiply
    735,480x = 1,143,531 × 1,143,531
  4. Step 4: Simplify right side
    735,480x = 1,307,663,147,961
  5. Step 5: Solve for x
    x = 1,307,663,147,961/735,480
  6. Step 6: Final answer
    x = 1,777,972.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.