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Finding the Third Proportional to 1,354,700.25 and 2,985,853.50

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Solution

The third proportional to 1,354,700.25 and 2,985,853.50 is: 6,581,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,700.25 : 2,985,853.50 = 2,985,853.50 : x
  2. Step 2: Convert to fraction form
    1,354,700.25/2,985,853.50 = 2,985,853.50/x
  3. Step 3: Cross multiply
    1,354,700.25x = 2,985,853.50 × 2,985,853.50
  4. Step 4: Simplify right side
    1,354,700.25x = 8,915,321,123,462.25
  5. Step 5: Solve for x
    x = 8,915,321,123,462.25/1,354,700.25
  6. Step 6: Final answer
    x = 6,581,028.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.