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Finding the Third Proportional to 659,451,966 and 1,020,167,658

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Solution

The third proportional to 659,451,966 and 1,020,167,658 is: 1,578,192,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,451,966 : 1,020,167,658 = 1,020,167,658 : x
  2. Step 2: Convert to fraction form
    659,451,966/1,020,167,658 = 1,020,167,658/x
  3. Step 3: Cross multiply
    659,451,966x = 1,020,167,658 × 1,020,167,658
  4. Step 4: Simplify right side
    659,451,966x = 1,040,742,050,429,204,992
  5. Step 5: Solve for x
    x = 1,040,742,050,429,204,992/659,451,966
  6. Step 6: Final answer
    x = 1,578,192,353.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.