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Finding the Third Proportional to 861,646.50 and 1,207,437.75

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Solution

The third proportional to 861,646.50 and 1,207,437.75 is: 1,692,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,646.50 : 1,207,437.75 = 1,207,437.75 : x
  2. Step 2: Convert to fraction form
    861,646.50/1,207,437.75 = 1,207,437.75/x
  3. Step 3: Cross multiply
    861,646.50x = 1,207,437.75 × 1,207,437.75
  4. Step 4: Simplify right side
    861,646.50x = 1,457,905,920,125.06
  5. Step 5: Solve for x
    x = 1,457,905,920,125.06/861,646.50
  6. Step 6: Final answer
    x = 1,692,000.05

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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.