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Finding the Third Proportional to 861,784 and 1,207,609

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Solution

The third proportional to 861,784 and 1,207,609 is: 1,692,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,784 : 1,207,609 = 1,207,609 : x
  2. Step 2: Convert to fraction form
    861,784/1,207,609 = 1,207,609/x
  3. Step 3: Cross multiply
    861,784x = 1,207,609 × 1,207,609
  4. Step 4: Simplify right side
    861,784x = 1,458,319,496,881
  5. Step 5: Solve for x
    x = 1,458,319,496,881/861,784
  6. Step 6: Final answer
    x = 1,692,209.99

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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.