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Finding the Third Proportional to 762,374 and 1,656,049

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Solution

The third proportional to 762,374 and 1,656,049 is: 3,597,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,374 : 1,656,049 = 1,656,049 : x
  2. Step 2: Convert to fraction form
    762,374/1,656,049 = 1,656,049/x
  3. Step 3: Cross multiply
    762,374x = 1,656,049 × 1,656,049
  4. Step 4: Simplify right side
    762,374x = 2,742,498,290,401
  5. Step 5: Solve for x
    x = 2,742,498,290,401/762,374
  6. Step 6: Final answer
    x = 3,597,313.51

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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.