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Finding the Third Proportional to 729,255 and 1,103,943

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Solution

The third proportional to 729,255 and 1,103,943 is: 1,671,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,255 : 1,103,943 = 1,103,943 : x
  2. Step 2: Convert to fraction form
    729,255/1,103,943 = 1,103,943/x
  3. Step 3: Cross multiply
    729,255x = 1,103,943 × 1,103,943
  4. Step 4: Simplify right side
    729,255x = 1,218,690,147,249
  5. Step 5: Solve for x
    x = 1,218,690,147,249/729,255
  6. Step 6: Final answer
    x = 1,671,144.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.