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Finding the Third Proportional to 2,127,774 and 4,617,246

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Solution

The third proportional to 2,127,774 and 4,617,246 is: 10,019,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,774 : 4,617,246 = 4,617,246 : x
  2. Step 2: Convert to fraction form
    2,127,774/4,617,246 = 4,617,246/x
  3. Step 3: Cross multiply
    2,127,774x = 4,617,246 × 4,617,246
  4. Step 4: Simplify right side
    2,127,774x = 21,318,960,624,516
  5. Step 5: Solve for x
    x = 21,318,960,624,516/2,127,774
  6. Step 6: Final answer
    x = 10,019,372.65

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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.