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Finding the Third Proportional to 676,352 and 1,465,424

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Solution

The third proportional to 676,352 and 1,465,424 is: 3,175,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,352 : 1,465,424 = 1,465,424 : x
  2. Step 2: Convert to fraction form
    676,352/1,465,424 = 1,465,424/x
  3. Step 3: Cross multiply
    676,352x = 1,465,424 × 1,465,424
  4. Step 4: Simplify right side
    676,352x = 2,147,467,499,776
  5. Step 5: Solve for x
    x = 2,147,467,499,776/676,352
  6. Step 6: Final answer
    x = 3,175,073.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.