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Finding the Third Proportional to 659,416 and 1,412,132

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Solution

The third proportional to 659,416 and 1,412,132 is: 3,024,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,416 : 1,412,132 = 1,412,132 : x
  2. Step 2: Convert to fraction form
    659,416/1,412,132 = 1,412,132/x
  3. Step 3: Cross multiply
    659,416x = 1,412,132 × 1,412,132
  4. Step 4: Simplify right side
    659,416x = 1,994,116,785,424
  5. Step 5: Solve for x
    x = 1,994,116,785,424/659,416
  6. Step 6: Final answer
    x = 3,024,064.91

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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.