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Finding the Third Proportional to 1,414,909.50 and 3,053,889.38

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Solution

The third proportional to 1,414,909.50 and 3,053,889.38 is: 6,591,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,909.50 : 3,053,889.38 = 3,053,889.38 : x
  2. Step 2: Convert to fraction form
    1,414,909.50/3,053,889.38 = 3,053,889.38/x
  3. Step 3: Cross multiply
    1,414,909.50x = 3,053,889.38 × 3,053,889.38
  4. Step 4: Simplify right side
    1,414,909.50x = 9,326,240,314,737.89
  5. Step 5: Solve for x
    x = 9,326,240,314,737.89/1,414,909.50
  6. Step 6: Final answer
    x = 6,591,404.12

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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.