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Finding the Third Proportional to 3,414,737.25 and 5,248,766.25

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Solution

The third proportional to 3,414,737.25 and 5,248,766.25 is: 8,067,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,737.25 : 5,248,766.25 = 5,248,766.25 : x
  2. Step 2: Convert to fraction form
    3,414,737.25/5,248,766.25 = 5,248,766.25/x
  3. Step 3: Cross multiply
    3,414,737.25x = 5,248,766.25 × 5,248,766.25
  4. Step 4: Simplify right side
    3,414,737.25x = 27,549,547,147,139.06
  5. Step 5: Solve for x
    x = 27,549,547,147,139.06/3,414,737.25
  6. Step 6: Final answer
    x = 8,067,838.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.