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Finding the Third Proportional to 805,565.25 and 1,737,201.75

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Solution

The third proportional to 805,565.25 and 1,737,201.75 is: 3,746,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,565.25 : 1,737,201.75 = 1,737,201.75 : x
  2. Step 2: Convert to fraction form
    805,565.25/1,737,201.75 = 1,737,201.75/x
  3. Step 3: Cross multiply
    805,565.25x = 1,737,201.75 × 1,737,201.75
  4. Step 4: Simplify right side
    805,565.25x = 3,017,869,920,203.06
  5. Step 5: Solve for x
    x = 3,017,869,920,203.06/805,565.25
  6. Step 6: Final answer
    x = 3,746,276.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.