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Finding the Third Proportional to 2,309,812 and 4,766,080

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Solution

The third proportional to 2,309,812 and 4,766,080 is: 9,834,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,812 : 4,766,080 = 4,766,080 : x
  2. Step 2: Convert to fraction form
    2,309,812/4,766,080 = 4,766,080/x
  3. Step 3: Cross multiply
    2,309,812x = 4,766,080 × 4,766,080
  4. Step 4: Simplify right side
    2,309,812x = 22,715,518,566,400
  5. Step 5: Solve for x
    x = 22,715,518,566,400/2,309,812
  6. Step 6: Final answer
    x = 9,834,358.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.