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Finding the Third Proportional to 561,486 and 1,217,564

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Solution

The third proportional to 561,486 and 1,217,564 is: 2,640,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,486 : 1,217,564 = 1,217,564 : x
  2. Step 2: Convert to fraction form
    561,486/1,217,564 = 1,217,564/x
  3. Step 3: Cross multiply
    561,486x = 1,217,564 × 1,217,564
  4. Step 4: Simplify right side
    561,486x = 1,482,462,094,096
  5. Step 5: Solve for x
    x = 1,482,462,094,096/561,486
  6. Step 6: Final answer
    x = 2,640,247.65

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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.