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Finding the Third Proportional to 2,869,909.31 and 4,350,417.19

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Solution

The third proportional to 2,869,909.31 and 4,350,417.19 is: 6,594,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,909.31 : 4,350,417.19 = 4,350,417.19 : x
  2. Step 2: Convert to fraction form
    2,869,909.31/4,350,417.19 = 4,350,417.19/x
  3. Step 3: Cross multiply
    2,869,909.31x = 4,350,417.19 × 4,350,417.19
  4. Step 4: Simplify right side
    2,869,909.31x = 18,926,129,705,295.41
  5. Step 5: Solve for x
    x = 18,926,129,705,295.41/2,869,909.31
  6. Step 6: Final answer
    x = 6,594,678.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.