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Finding the Third Proportional to 643,749 and 1,385,670

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Solution

The third proportional to 643,749 and 1,385,670 is: 2,982,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,749 : 1,385,670 = 1,385,670 : x
  2. Step 2: Convert to fraction form
    643,749/1,385,670 = 1,385,670/x
  3. Step 3: Cross multiply
    643,749x = 1,385,670 × 1,385,670
  4. Step 4: Simplify right side
    643,749x = 1,920,081,348,900
  5. Step 5: Solve for x
    x = 1,920,081,348,900/643,749
  6. Step 6: Final answer
    x = 2,982,655.27

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