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Finding the Third Proportional to 679,220 and 1,476,376

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Solution

The third proportional to 679,220 and 1,476,376 is: 3,209,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,220 : 1,476,376 = 1,476,376 : x
  2. Step 2: Convert to fraction form
    679,220/1,476,376 = 1,476,376/x
  3. Step 3: Cross multiply
    679,220x = 1,476,376 × 1,476,376
  4. Step 4: Simplify right side
    679,220x = 2,179,686,093,376
  5. Step 5: Solve for x
    x = 2,179,686,093,376/679,220
  6. Step 6: Final answer
    x = 3,209,101.75

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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.