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Finding the Third Proportional to 762,940 and 1,656,972

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Solution

The third proportional to 762,940 and 1,656,972 is: 3,598,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,940 : 1,656,972 = 1,656,972 : x
  2. Step 2: Convert to fraction form
    762,940/1,656,972 = 1,656,972/x
  3. Step 3: Cross multiply
    762,940x = 1,656,972 × 1,656,972
  4. Step 4: Simplify right side
    762,940x = 2,745,556,208,784
  5. Step 5: Solve for x
    x = 2,745,556,208,784/762,940
  6. Step 6: Final answer
    x = 3,598,652.85

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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.