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Finding the Third Proportional to 747,774 and 1,160,065.13

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Solution

The third proportional to 747,774 and 1,160,065.13 is: 1,799,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,774 : 1,160,065.13 = 1,160,065.13 : x
  2. Step 2: Convert to fraction form
    747,774/1,160,065.13 = 1,160,065.13/x
  3. Step 3: Cross multiply
    747,774x = 1,160,065.13 × 1,160,065.13
  4. Step 4: Simplify right side
    747,774x = 1,345,751,094,241.27
  5. Step 5: Solve for x
    x = 1,345,751,094,241.27/747,774
  6. Step 6: Final answer
    x = 1,799,676.23

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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.