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Finding the Third Proportional to 526,002,149 and 1,143,560,421

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Solution

The third proportional to 526,002,149 and 1,143,560,421 is: 2,486,169,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,002,149 : 1,143,560,421 = 1,143,560,421 : x
  2. Step 2: Convert to fraction form
    526,002,149/1,143,560,421 = 1,143,560,421/x
  3. Step 3: Cross multiply
    526,002,149x = 1,143,560,421 × 1,143,560,421
  4. Step 4: Simplify right side
    526,002,149x = 1,307,730,436,477,697,280
  5. Step 5: Solve for x
    x = 1,307,730,436,477,697,280/526,002,149
  6. Step 6: Final answer
    x = 2,486,169,379.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.