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Finding the Third Proportional to 701,473,702 and 980,701,521

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Solution

The third proportional to 701,473,702 and 980,701,521 is: 1,371,078,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,473,702 : 980,701,521 = 980,701,521 : x
  2. Step 2: Convert to fraction form
    701,473,702/980,701,521 = 980,701,521/x
  3. Step 3: Cross multiply
    701,473,702x = 980,701,521 × 980,701,521
  4. Step 4: Simplify right side
    701,473,702x = 961,775,473,291,713,408
  5. Step 5: Solve for x
    x = 961,775,473,291,713,408/701,473,702
  6. Step 6: Final answer
    x = 1,371,078,446.06

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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.