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Finding the Third Proportional to 2,565,990 and 3,587,413

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Solution

The third proportional to 2,565,990 and 3,587,413 is: 5,015,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565,990 : 3,587,413 = 3,587,413 : x
  2. Step 2: Convert to fraction form
    2,565,990/3,587,413 = 3,587,413/x
  3. Step 3: Cross multiply
    2,565,990x = 3,587,413 × 3,587,413
  4. Step 4: Simplify right side
    2,565,990x = 12,869,532,032,569
  5. Step 5: Solve for x
    x = 12,869,532,032,569/2,565,990
  6. Step 6: Final answer
    x = 5,015,425.64

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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.