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Finding the Third Proportional to 1,053,052.50 and 2,053,617

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Solution

The third proportional to 1,053,052.50 and 2,053,617 is: 4,004,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,052.50 : 2,053,617 = 2,053,617 : x
  2. Step 2: Convert to fraction form
    1,053,052.50/2,053,617 = 2,053,617/x
  3. Step 3: Cross multiply
    1,053,052.50x = 2,053,617 × 2,053,617
  4. Step 4: Simplify right side
    1,053,052.50x = 4,217,342,782,689
  5. Step 5: Solve for x
    x = 4,217,342,782,689/1,053,052.50
  6. Step 6: Final answer
    x = 4,004,874.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.