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Finding the Third Proportional to 521,817 and 1,132,862

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Solution

The third proportional to 521,817 and 1,132,862 is: 2,459,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,817 : 1,132,862 = 1,132,862 : x
  2. Step 2: Convert to fraction form
    521,817/1,132,862 = 1,132,862/x
  3. Step 3: Cross multiply
    521,817x = 1,132,862 × 1,132,862
  4. Step 4: Simplify right side
    521,817x = 1,283,376,311,044
  5. Step 5: Solve for x
    x = 1,283,376,311,044/521,817
  6. Step 6: Final answer
    x = 2,459,437.53

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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.