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Finding the Third Proportional to 1,176,665 and 2,569,115

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Solution

The third proportional to 1,176,665 and 2,569,115 is: 5,609,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,665 : 2,569,115 = 2,569,115 : x
  2. Step 2: Convert to fraction form
    1,176,665/2,569,115 = 2,569,115/x
  3. Step 3: Cross multiply
    1,176,665x = 2,569,115 × 2,569,115
  4. Step 4: Simplify right side
    1,176,665x = 6,600,351,883,225
  5. Step 5: Solve for x
    x = 6,600,351,883,225/1,176,665
  6. Step 6: Final answer
    x = 5,609,372.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.