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Finding the Third Proportional to 1,683,686.25 and 2,567,565.84

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Solution

The third proportional to 1,683,686.25 and 2,567,565.84 is: 3,915,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,686.25 : 2,567,565.84 = 2,567,565.84 : x
  2. Step 2: Convert to fraction form
    1,683,686.25/2,567,565.84 = 2,567,565.84/x
  3. Step 3: Cross multiply
    1,683,686.25x = 2,567,565.84 × 2,567,565.84
  4. Step 4: Simplify right side
    1,683,686.25x = 6,592,394,361,991.65
  5. Step 5: Solve for x
    x = 6,592,394,361,991.65/1,683,686.25
  6. Step 6: Final answer
    x = 3,915,452.99

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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.