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Finding the Third Proportional to 462,134,556 and 717,882,876

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Solution

The third proportional to 462,134,556 and 717,882,876 is: 1,115,164,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,134,556 : 717,882,876 = 717,882,876 : x
  2. Step 2: Convert to fraction form
    462,134,556/717,882,876 = 717,882,876/x
  3. Step 3: Cross multiply
    462,134,556x = 717,882,876 × 717,882,876
  4. Step 4: Simplify right side
    462,134,556x = 515,355,823,654,031,360
  5. Step 5: Solve for x
    x = 515,355,823,654,031,360/462,134,556
  6. Step 6: Final answer
    x = 1,115,164,007.89

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