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Finding the Third Proportional to 486,006 and 1,060,448

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Solution

The third proportional to 486,006 and 1,060,448 is: 2,313,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,006 : 1,060,448 = 1,060,448 : x
  2. Step 2: Convert to fraction form
    486,006/1,060,448 = 1,060,448/x
  3. Step 3: Cross multiply
    486,006x = 1,060,448 × 1,060,448
  4. Step 4: Simplify right side
    486,006x = 1,124,549,960,704
  5. Step 5: Solve for x
    x = 1,124,549,960,704/486,006
  6. Step 6: Final answer
    x = 2,313,860.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.