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Finding the Third Proportional to 561,472 and 1,217,534

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Solution

The third proportional to 561,472 and 1,217,534 is: 2,640,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,472 : 1,217,534 = 1,217,534 : x
  2. Step 2: Convert to fraction form
    561,472/1,217,534 = 1,217,534/x
  3. Step 3: Cross multiply
    561,472x = 1,217,534 × 1,217,534
  4. Step 4: Simplify right side
    561,472x = 1,482,389,041,156
  5. Step 5: Solve for x
    x = 1,482,389,041,156/561,472
  6. Step 6: Final answer
    x = 2,640,183.38

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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.