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Finding the Third Proportional to 3,985,651.83 and 5,977,439.30

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Solution

The third proportional to 3,985,651.83 and 5,977,439.30 is: 8,964,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985,651.83 : 5,977,439.30 = 5,977,439.30 : x
  2. Step 2: Convert to fraction form
    3,985,651.83/5,977,439.30 = 5,977,439.30/x
  3. Step 3: Cross multiply
    3,985,651.83x = 5,977,439.30 × 5,977,439.30
  4. Step 4: Simplify right side
    3,985,651.83x = 35,729,780,547,825.49
  5. Step 5: Solve for x
    x = 35,729,780,547,825.49/3,985,651.83
  6. Step 6: Final answer
    x = 8,964,601.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.