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Finding the Third Proportional to 561,864 and 1,202,460

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Solution

The third proportional to 561,864 and 1,202,460 is: 2,573,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,864 : 1,202,460 = 1,202,460 : x
  2. Step 2: Convert to fraction form
    561,864/1,202,460 = 1,202,460/x
  3. Step 3: Cross multiply
    561,864x = 1,202,460 × 1,202,460
  4. Step 4: Simplify right side
    561,864x = 1,445,910,051,600
  5. Step 5: Solve for x
    x = 1,445,910,051,600/561,864
  6. Step 6: Final answer
    x = 2,573,416.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.