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Finding the Third Proportional to 2,173,970 and 4,722,534

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Solution

The third proportional to 2,173,970 and 4,722,534 is: 10,258,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,970 : 4,722,534 = 4,722,534 : x
  2. Step 2: Convert to fraction form
    2,173,970/4,722,534 = 4,722,534/x
  3. Step 3: Cross multiply
    2,173,970x = 4,722,534 × 4,722,534
  4. Step 4: Simplify right side
    2,173,970x = 22,302,327,381,156
  5. Step 5: Solve for x
    x = 22,302,327,381,156/2,173,970
  6. Step 6: Final answer
    x = 10,258,801.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.