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Finding the Third Proportional to 561,460 and 1,217,505

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Solution

The third proportional to 561,460 and 1,217,505 is: 2,640,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,460 : 1,217,505 = 1,217,505 : x
  2. Step 2: Convert to fraction form
    561,460/1,217,505 = 1,217,505/x
  3. Step 3: Cross multiply
    561,460x = 1,217,505 × 1,217,505
  4. Step 4: Simplify right side
    561,460x = 1,482,318,425,025
  5. Step 5: Solve for x
    x = 1,482,318,425,025/561,460
  6. Step 6: Final answer
    x = 2,640,114.03

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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.