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Finding the Third Proportional to 482,894,830 and 1,046,012,390

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Solution

The third proportional to 482,894,830 and 1,046,012,390 is: 2,265,797,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,894,830 : 1,046,012,390 = 1,046,012,390 : x
  2. Step 2: Convert to fraction form
    482,894,830/1,046,012,390 = 1,046,012,390/x
  3. Step 3: Cross multiply
    482,894,830x = 1,046,012,390 × 1,046,012,390
  4. Step 4: Simplify right side
    482,894,830x = 1,094,141,920,033,512,064
  5. Step 5: Solve for x
    x = 1,094,141,920,033,512,064/482,894,830
  6. Step 6: Final answer
    x = 2,265,797,544.43

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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.