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Finding the Third Proportional to 2,096,801 and 4,928,658

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Solution

The third proportional to 2,096,801 and 4,928,658 is: 11,585,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,801 : 4,928,658 = 4,928,658 : x
  2. Step 2: Convert to fraction form
    2,096,801/4,928,658 = 4,928,658/x
  3. Step 3: Cross multiply
    2,096,801x = 4,928,658 × 4,928,658
  4. Step 4: Simplify right side
    2,096,801x = 24,291,669,680,964
  5. Step 5: Solve for x
    x = 24,291,669,680,964/2,096,801
  6. Step 6: Final answer
    x = 11,585,109.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.