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Finding the Third Proportional to 701,473,696 and 980,701,512

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Solution

The third proportional to 701,473,696 and 980,701,512 is: 1,371,078,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,473,696 : 980,701,512 = 980,701,512 : x
  2. Step 2: Convert to fraction form
    701,473,696/980,701,512 = 980,701,512/x
  3. Step 3: Cross multiply
    701,473,696x = 980,701,512 × 980,701,512
  4. Step 4: Simplify right side
    701,473,696x = 961,775,455,639,086,080
  5. Step 5: Solve for x
    x = 961,775,455,639,086,080/701,473,696
  6. Step 6: Final answer
    x = 1,371,078,432.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.