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Finding the Third Proportional to 268,397,829 and 587,036,394

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Solution

The third proportional to 268,397,829 and 587,036,394 is: 1,283,958,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,397,829 : 587,036,394 = 587,036,394 : x
  2. Step 2: Convert to fraction form
    268,397,829/587,036,394 = 587,036,394/x
  3. Step 3: Cross multiply
    268,397,829x = 587,036,394 × 587,036,394
  4. Step 4: Simplify right side
    268,397,829x = 344,611,727,880,523,264
  5. Step 5: Solve for x
    x = 344,611,727,880,523,264/268,397,829
  6. Step 6: Final answer
    x = 1,283,958,701.02

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