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Finding the Third Proportional to 979,542 and 1,513,643

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Solution

The third proportional to 979,542 and 1,513,643 is: 2,338,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,542 : 1,513,643 = 1,513,643 : x
  2. Step 2: Convert to fraction form
    979,542/1,513,643 = 1,513,643/x
  3. Step 3: Cross multiply
    979,542x = 1,513,643 × 1,513,643
  4. Step 4: Simplify right side
    979,542x = 2,291,115,131,449
  5. Step 5: Solve for x
    x = 2,291,115,131,449/979,542
  6. Step 6: Final answer
    x = 2,338,965.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.