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Finding the Third Proportional to 482,894,766 and 1,046,012,274

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Solution

The third proportional to 482,894,766 and 1,046,012,274 is: 2,265,797,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,894,766 : 1,046,012,274 = 1,046,012,274 : x
  2. Step 2: Convert to fraction form
    482,894,766/1,046,012,274 = 1,046,012,274/x
  3. Step 3: Cross multiply
    482,894,766x = 1,046,012,274 × 1,046,012,274
  4. Step 4: Simplify right side
    482,894,766x = 1,094,141,677,358,651,136
  5. Step 5: Solve for x
    x = 1,094,141,677,358,651,136/482,894,766
  6. Step 6: Final answer
    x = 2,265,797,342.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.