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Finding the Third Proportional to 861,346.50 and 1,854,322.50

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Solution

The third proportional to 861,346.50 and 1,854,322.50 is: 3,992,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,346.50 : 1,854,322.50 = 1,854,322.50 : x
  2. Step 2: Convert to fraction form
    861,346.50/1,854,322.50 = 1,854,322.50/x
  3. Step 3: Cross multiply
    861,346.50x = 1,854,322.50 × 1,854,322.50
  4. Step 4: Simplify right side
    861,346.50x = 3,438,511,934,006.25
  5. Step 5: Solve for x
    x = 3,438,511,934,006.25/861,346.50
  6. Step 6: Final answer
    x = 3,992,019.40

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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.