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Finding the Third Proportional to 616,422,510 and 902,518,812

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Solution

The third proportional to 616,422,510 and 902,518,812 is: 1,321,399,190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,422,510 : 902,518,812 = 902,518,812 : x
  2. Step 2: Convert to fraction form
    616,422,510/902,518,812 = 902,518,812/x
  3. Step 3: Cross multiply
    616,422,510x = 902,518,812 × 902,518,812
  4. Step 4: Simplify right side
    616,422,510x = 814,540,206,013,891,328
  5. Step 5: Solve for x
    x = 814,540,206,013,891,328/616,422,510
  6. Step 6: Final answer
    x = 1,321,399,190.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.