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Finding the Third Proportional to 1,928,508.75 and 4,147,250.63

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Solution

The third proportional to 1,928,508.75 and 4,147,250.63 is: 8,918,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,508.75 : 4,147,250.63 = 4,147,250.63 : x
  2. Step 2: Convert to fraction form
    1,928,508.75/4,147,250.63 = 4,147,250.63/x
  3. Step 3: Cross multiply
    1,928,508.75x = 4,147,250.63 × 4,147,250.63
  4. Step 4: Simplify right side
    1,928,508.75x = 17,199,687,746,562.89
  5. Step 5: Solve for x
    x = 17,199,687,746,562.89/1,928,508.75
  6. Step 6: Final answer
    x = 8,918,646.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.