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Finding the Third Proportional to 664,011 and 1,422,708

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Solution

The third proportional to 664,011 and 1,422,708 is: 3,048,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,011 : 1,422,708 = 1,422,708 : x
  2. Step 2: Convert to fraction form
    664,011/1,422,708 = 1,422,708/x
  3. Step 3: Cross multiply
    664,011x = 1,422,708 × 1,422,708
  4. Step 4: Simplify right side
    664,011x = 2,024,098,053,264
  5. Step 5: Solve for x
    x = 2,024,098,053,264/664,011
  6. Step 6: Final answer
    x = 3,048,289.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.