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Finding the Third Proportional to 2,267,438 and 4,977,190

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Solution

The third proportional to 2,267,438 and 4,977,190 is: 10,925,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267,438 : 4,977,190 = 4,977,190 : x
  2. Step 2: Convert to fraction form
    2,267,438/4,977,190 = 4,977,190/x
  3. Step 3: Cross multiply
    2,267,438x = 4,977,190 × 4,977,190
  4. Step 4: Simplify right side
    2,267,438x = 24,772,420,296,100
  5. Step 5: Solve for x
    x = 24,772,420,296,100/2,267,438
  6. Step 6: Final answer
    x = 10,925,291.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.