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Finding the Third Proportional to 441,659 and 953,262

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Solution

The third proportional to 441,659 and 953,262 is: 2,057,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,659 : 953,262 = 953,262 : x
  2. Step 2: Convert to fraction form
    441,659/953,262 = 953,262/x
  3. Step 3: Cross multiply
    441,659x = 953,262 × 953,262
  4. Step 4: Simplify right side
    441,659x = 908,708,440,644
  5. Step 5: Solve for x
    x = 908,708,440,644/441,659
  6. Step 6: Final answer
    x = 2,057,488.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.