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Finding the Third Proportional to 664,580 and 1,423,660

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Solution

The third proportional to 664,580 and 1,423,660 is: 3,049,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,580 : 1,423,660 = 1,423,660 : x
  2. Step 2: Convert to fraction form
    664,580/1,423,660 = 1,423,660/x
  3. Step 3: Cross multiply
    664,580x = 1,423,660 × 1,423,660
  4. Step 4: Simplify right side
    664,580x = 2,026,807,795,600
  5. Step 5: Solve for x
    x = 2,026,807,795,600/664,580
  6. Step 6: Final answer
    x = 3,049,757.43

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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.