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Finding the Third Proportional to 616,884,544 and 822,420,960

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Solution

The third proportional to 616,884,544 and 822,420,960 is: 1,096,438,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,884,544 : 822,420,960 = 822,420,960 : x
  2. Step 2: Convert to fraction form
    616,884,544/822,420,960 = 822,420,960/x
  3. Step 3: Cross multiply
    616,884,544x = 822,420,960 × 822,420,960
  4. Step 4: Simplify right side
    616,884,544x = 676,376,235,447,321,600
  5. Step 5: Solve for x
    x = 676,376,235,447,321,600/616,884,544
  6. Step 6: Final answer
    x = 1,096,438,939.87

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.