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Finding the Third Proportional to 701,473,705.88 and 980,701,527.38

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Solution

The third proportional to 701,473,705.88 and 980,701,527.38 is: 1,371,078,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,473,705.88 : 980,701,527.38 = 980,701,527.38 : x
  2. Step 2: Convert to fraction form
    701,473,705.88/980,701,527.38 = 980,701,527.38/x
  3. Step 3: Cross multiply
    701,473,705.88x = 980,701,527.38 × 980,701,527.38
  4. Step 4: Simplify right side
    701,473,705.88x = 961,775,485,795,657,856
  5. Step 5: Solve for x
    x = 961,775,485,795,657,856/701,473,705.88
  6. Step 6: Final answer
    x = 1,371,078,456.31

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Why These Related Problems?

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