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Finding the Third Proportional to 763,414 and 1,658,372

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Solution

The third proportional to 763,414 and 1,658,372 is: 3,602,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,414 : 1,658,372 = 1,658,372 : x
  2. Step 2: Convert to fraction form
    763,414/1,658,372 = 1,658,372/x
  3. Step 3: Cross multiply
    763,414x = 1,658,372 × 1,658,372
  4. Step 4: Simplify right side
    763,414x = 2,750,197,690,384
  5. Step 5: Solve for x
    x = 2,750,197,690,384/763,414
  6. Step 6: Final answer
    x = 3,602,498.37

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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.