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Finding the Third Proportional to 721,625 and 1,549,864

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Solution

The third proportional to 721,625 and 1,549,864 is: 3,328,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,625 : 1,549,864 = 1,549,864 : x
  2. Step 2: Convert to fraction form
    721,625/1,549,864 = 1,549,864/x
  3. Step 3: Cross multiply
    721,625x = 1,549,864 × 1,549,864
  4. Step 4: Simplify right side
    721,625x = 2,402,078,418,496
  5. Step 5: Solve for x
    x = 2,402,078,418,496/721,625
  6. Step 6: Final answer
    x = 3,328,707.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.