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Finding the Third Proportional to 3,913,260.61 and 5,851,899.42

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Solution

The third proportional to 3,913,260.61 and 5,851,899.42 is: 8,750,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913,260.61 : 5,851,899.42 = 5,851,899.42 : x
  2. Step 2: Convert to fraction form
    3,913,260.61/5,851,899.42 = 5,851,899.42/x
  3. Step 3: Cross multiply
    3,913,260.61x = 5,851,899.42 × 5,851,899.42
  4. Step 4: Simplify right side
    3,913,260.61x = 34,244,726,843,740.96
  5. Step 5: Solve for x
    x = 34,244,726,843,740.96/3,913,260.61
  6. Step 6: Final answer
    x = 8,750,944.61

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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.