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Finding the Third Proportional to 2,565,975.80 and 3,587,385.16

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Solution

The third proportional to 2,565,975.80 and 3,587,385.16 is: 5,015,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565,975.80 : 3,587,385.16 = 3,587,385.16 : x
  2. Step 2: Convert to fraction form
    2,565,975.80/3,587,385.16 = 3,587,385.16/x
  3. Step 3: Cross multiply
    2,565,975.80x = 3,587,385.16 × 3,587,385.16
  4. Step 4: Simplify right side
    2,565,975.80x = 12,869,332,315,335.73
  5. Step 5: Solve for x
    x = 12,869,332,315,335.73/2,565,975.80
  6. Step 6: Final answer
    x = 5,015,375.57

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.