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Finding the Third Proportional to 655,696,649 and 1,070,580,268

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Solution

The third proportional to 655,696,649 and 1,070,580,268 is: 1,747,976,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,696,649 : 1,070,580,268 = 1,070,580,268 : x
  2. Step 2: Convert to fraction form
    655,696,649/1,070,580,268 = 1,070,580,268/x
  3. Step 3: Cross multiply
    655,696,649x = 1,070,580,268 × 1,070,580,268
  4. Step 4: Simplify right side
    655,696,649x = 1,146,142,110,230,951,808
  5. Step 5: Solve for x
    x = 1,146,142,110,230,951,808/655,696,649
  6. Step 6: Final answer
    x = 1,747,976,159.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.