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Finding the Third Proportional to 539,609,856 and 1,161,061,464

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Solution

The third proportional to 539,609,856 and 1,161,061,464 is: 2,498,219,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,609,856 : 1,161,061,464 = 1,161,061,464 : x
  2. Step 2: Convert to fraction form
    539,609,856/1,161,061,464 = 1,161,061,464/x
  3. Step 3: Cross multiply
    539,609,856x = 1,161,061,464 × 1,161,061,464
  4. Step 4: Simplify right side
    539,609,856x = 1,348,063,723,185,823,232
  5. Step 5: Solve for x
    x = 1,348,063,723,185,823,232/539,609,856
  6. Step 6: Final answer
    x = 2,498,219,237.84

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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.