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Finding the Third Proportional to 709,498 and 1,511,012

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Solution

The third proportional to 709,498 and 1,511,012 is: 3,217,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,498 : 1,511,012 = 1,511,012 : x
  2. Step 2: Convert to fraction form
    709,498/1,511,012 = 1,511,012/x
  3. Step 3: Cross multiply
    709,498x = 1,511,012 × 1,511,012
  4. Step 4: Simplify right side
    709,498x = 2,283,157,264,144
  5. Step 5: Solve for x
    x = 2,283,157,264,144/709,498
  6. Step 6: Final answer
    x = 3,217,989.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.