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Finding the Third Proportional to 450,446 and 979,298

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Solution

The third proportional to 450,446 and 979,298 is: 2,129,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,446 : 979,298 = 979,298 : x
  2. Step 2: Convert to fraction form
    450,446/979,298 = 979,298/x
  3. Step 3: Cross multiply
    450,446x = 979,298 × 979,298
  4. Step 4: Simplify right side
    450,446x = 959,024,572,804
  5. Step 5: Solve for x
    x = 959,024,572,804/450,446
  6. Step 6: Final answer
    x = 2,129,055.59

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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.