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Finding the Third Proportional to 686,220 and 1,512,048

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Solution

The third proportional to 686,220 and 1,512,048 is: 3,331,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,220 : 1,512,048 = 1,512,048 : x
  2. Step 2: Convert to fraction form
    686,220/1,512,048 = 1,512,048/x
  3. Step 3: Cross multiply
    686,220x = 1,512,048 × 1,512,048
  4. Step 4: Simplify right side
    686,220x = 2,286,289,154,304
  5. Step 5: Solve for x
    x = 2,286,289,154,304/686,220
  6. Step 6: Final answer
    x = 3,331,714.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.