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Finding the Third Proportional to 659,438 and 1,412,164

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Solution

The third proportional to 659,438 and 1,412,164 is: 3,024,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,438 : 1,412,164 = 1,412,164 : x
  2. Step 2: Convert to fraction form
    659,438/1,412,164 = 1,412,164/x
  3. Step 3: Cross multiply
    659,438x = 1,412,164 × 1,412,164
  4. Step 4: Simplify right side
    659,438x = 1,994,207,162,896
  5. Step 5: Solve for x
    x = 1,994,207,162,896/659,438
  6. Step 6: Final answer
    x = 3,024,101.07

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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.