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Finding the Third Proportional to 2,272,224 and 4,972,023

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Solution

The third proportional to 2,272,224 and 4,972,023 is: 10,879,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,224 : 4,972,023 = 4,972,023 : x
  2. Step 2: Convert to fraction form
    2,272,224/4,972,023 = 4,972,023/x
  3. Step 3: Cross multiply
    2,272,224x = 4,972,023 × 4,972,023
  4. Step 4: Simplify right side
    2,272,224x = 24,721,012,712,529
  5. Step 5: Solve for x
    x = 24,721,012,712,529/2,272,224
  6. Step 6: Final answer
    x = 10,879,654.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.