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Finding the Third Proportional to 3,084,812 and 4,926,108

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Solution

The third proportional to 3,084,812 and 4,926,108 is: 7,866,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,812 : 4,926,108 = 4,926,108 : x
  2. Step 2: Convert to fraction form
    3,084,812/4,926,108 = 4,926,108/x
  3. Step 3: Cross multiply
    3,084,812x = 4,926,108 × 4,926,108
  4. Step 4: Simplify right side
    3,084,812x = 24,266,540,027,664
  5. Step 5: Solve for x
    x = 24,266,540,027,664/3,084,812
  6. Step 6: Final answer
    x = 7,866,456.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.