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Finding the Third Proportional to 701,473,699.88 and 980,701,518.56

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Solution

The third proportional to 701,473,699.88 and 980,701,518.56 is: 1,371,078,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,473,699.88 : 980,701,518.56 = 980,701,518.56 : x
  2. Step 2: Convert to fraction form
    701,473,699.88/980,701,518.56 = 980,701,518.56/x
  3. Step 3: Cross multiply
    701,473,699.88x = 980,701,518.56 × 980,701,518.56
  4. Step 4: Simplify right side
    701,473,699.88x = 961,775,468,510,793,472
  5. Step 5: Solve for x
    x = 961,775,468,510,793,472/701,473,699.88
  6. Step 6: Final answer
    x = 1,371,078,443.40

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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.