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Finding the Third Proportional to 466,531,234 and 1,002,296,952

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Solution

The third proportional to 466,531,234 and 1,002,296,952 is: 2,153,337,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,531,234 : 1,002,296,952 = 1,002,296,952 : x
  2. Step 2: Convert to fraction form
    466,531,234/1,002,296,952 = 1,002,296,952/x
  3. Step 3: Cross multiply
    466,531,234x = 1,002,296,952 × 1,002,296,952
  4. Step 4: Simplify right side
    466,531,234x = 1,004,599,179,988,490,240
  5. Step 5: Solve for x
    x = 1,004,599,179,988,490,240/466,531,234
  6. Step 6: Final answer
    x = 2,153,337,454.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.