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Finding the Third Proportional to 2,262,848 and 4,956,151

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Solution

The third proportional to 2,262,848 and 4,956,151 is: 10,855,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262,848 : 4,956,151 = 4,956,151 : x
  2. Step 2: Convert to fraction form
    2,262,848/4,956,151 = 4,956,151/x
  3. Step 3: Cross multiply
    2,262,848x = 4,956,151 × 4,956,151
  4. Step 4: Simplify right side
    2,262,848x = 24,563,432,734,801
  5. Step 5: Solve for x
    x = 24,563,432,734,801/2,262,848
  6. Step 6: Final answer
    x = 10,855,096.20

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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.