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Finding the Third Proportional to 482,894,788 and 1,046,012,318

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Solution

The third proportional to 482,894,788 and 1,046,012,318 is: 2,265,797,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,894,788 : 1,046,012,318 = 1,046,012,318 : x
  2. Step 2: Convert to fraction form
    482,894,788/1,046,012,318 = 1,046,012,318/x
  3. Step 3: Cross multiply
    482,894,788x = 1,046,012,318 × 1,046,012,318
  4. Step 4: Simplify right side
    482,894,788x = 1,094,141,769,407,733,120
  5. Step 5: Solve for x
    x = 1,094,141,769,407,733,120/482,894,788
  6. Step 6: Final answer
    x = 2,265,797,429.58

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Why These Related Problems?

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