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Finding the Third Proportional to 652,190.88 and 1,412,948

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Solution

The third proportional to 652,190.88 and 1,412,948 is: 3,061,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,190.88 : 1,412,948 = 1,412,948 : x
  2. Step 2: Convert to fraction form
    652,190.88/1,412,948 = 1,412,948/x
  3. Step 3: Cross multiply
    652,190.88x = 1,412,948 × 1,412,948
  4. Step 4: Simplify right side
    652,190.88x = 1,996,422,050,704
  5. Step 5: Solve for x
    x = 1,996,422,050,704/652,190.88
  6. Step 6: Final answer
    x = 3,061,100.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.