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Finding the Third Proportional to 746,669 and 1,755,132

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Solution

The third proportional to 746,669 and 1,755,132 is: 4,125,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,669 : 1,755,132 = 1,755,132 : x
  2. Step 2: Convert to fraction form
    746,669/1,755,132 = 1,755,132/x
  3. Step 3: Cross multiply
    746,669x = 1,755,132 × 1,755,132
  4. Step 4: Simplify right side
    746,669x = 3,080,488,337,424
  5. Step 5: Solve for x
    x = 3,080,488,337,424/746,669
  6. Step 6: Final answer
    x = 4,125,641.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.