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Finding the Third Proportional to 861,664.50 and 1,207,467

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Solution

The third proportional to 861,664.50 and 1,207,467 is: 1,692,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,664.50 : 1,207,467 = 1,207,467 : x
  2. Step 2: Convert to fraction form
    861,664.50/1,207,467 = 1,207,467/x
  3. Step 3: Cross multiply
    861,664.50x = 1,207,467 × 1,207,467
  4. Step 4: Simplify right side
    861,664.50x = 1,457,976,556,089
  5. Step 5: Solve for x
    x = 1,457,976,556,089/861,664.50
  6. Step 6: Final answer
    x = 1,692,046.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.