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Finding the Third Proportional to 506,860 and 1,097,372

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Solution

The third proportional to 506,860 and 1,097,372 is: 2,375,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,860 : 1,097,372 = 1,097,372 : x
  2. Step 2: Convert to fraction form
    506,860/1,097,372 = 1,097,372/x
  3. Step 3: Cross multiply
    506,860x = 1,097,372 × 1,097,372
  4. Step 4: Simplify right side
    506,860x = 1,204,225,306,384
  5. Step 5: Solve for x
    x = 1,204,225,306,384/506,860
  6. Step 6: Final answer
    x = 2,375,853.90

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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.