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Finding the Third Proportional to 1,784,079.42 and 2,872,641.59

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Solution

The third proportional to 1,784,079.42 and 2,872,641.59 is: 4,625,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,079.42 : 2,872,641.59 = 2,872,641.59 : x
  2. Step 2: Convert to fraction form
    1,784,079.42/2,872,641.59 = 2,872,641.59/x
  3. Step 3: Cross multiply
    1,784,079.42x = 2,872,641.59 × 2,872,641.59
  4. Step 4: Simplify right side
    1,784,079.42x = 8,252,069,681,257.52
  5. Step 5: Solve for x
    x = 8,252,069,681,257.52/1,784,079.42
  6. Step 6: Final answer
    x = 4,625,393.68

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.