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Finding the Third Proportional to 681,578,498 and 1,492,897,828

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Solution

The third proportional to 681,578,498 and 1,492,897,828 is: 3,269,973,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,578,498 : 1,492,897,828 = 1,492,897,828 : x
  2. Step 2: Convert to fraction form
    681,578,498/1,492,897,828 = 1,492,897,828/x
  3. Step 3: Cross multiply
    681,578,498x = 1,492,897,828 × 1,492,897,828
  4. Step 4: Simplify right side
    681,578,498x = 2,228,743,924,847,117,568
  5. Step 5: Solve for x
    x = 2,228,743,924,847,117,568/681,578,498
  6. Step 6: Final answer
    x = 3,269,973,937.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.