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Finding the Third Proportional to 491,752,152 and 1,003,257,927

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Solution

The third proportional to 491,752,152 and 1,003,257,927 is: 2,046,816,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,752,152 : 1,003,257,927 = 1,003,257,927 : x
  2. Step 2: Convert to fraction form
    491,752,152/1,003,257,927 = 1,003,257,927/x
  3. Step 3: Cross multiply
    491,752,152x = 1,003,257,927 × 1,003,257,927
  4. Step 4: Simplify right side
    491,752,152x = 1,006,526,468,088,337,280
  5. Step 5: Solve for x
    x = 1,006,526,468,088,337,280/491,752,152
  6. Step 6: Final answer
    x = 2,046,816,600.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.