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Finding the Third Proportional to 763,098 and 1,657,416

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Solution

The third proportional to 763,098 and 1,657,416 is: 3,599,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,098 : 1,657,416 = 1,657,416 : x
  2. Step 2: Convert to fraction form
    763,098/1,657,416 = 1,657,416/x
  3. Step 3: Cross multiply
    763,098x = 1,657,416 × 1,657,416
  4. Step 4: Simplify right side
    763,098x = 2,747,027,797,056
  5. Step 5: Solve for x
    x = 2,747,027,797,056/763,098
  6. Step 6: Final answer
    x = 3,599,836.19

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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.