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Finding the Third Proportional to 763,132 and 1,657,478

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Solution

The third proportional to 763,132 and 1,657,478 is: 3,599,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,132 : 1,657,478 = 1,657,478 : x
  2. Step 2: Convert to fraction form
    763,132/1,657,478 = 1,657,478/x
  3. Step 3: Cross multiply
    763,132x = 1,657,478 × 1,657,478
  4. Step 4: Simplify right side
    763,132x = 2,747,233,320,484
  5. Step 5: Solve for x
    x = 2,747,233,320,484/763,132
  6. Step 6: Final answer
    x = 3,599,945.12

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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.