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Finding the Third Proportional to 652,972 and 1,372,040

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Solution

The third proportional to 652,972 and 1,372,040 is: 2,882,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,972 : 1,372,040 = 1,372,040 : x
  2. Step 2: Convert to fraction form
    652,972/1,372,040 = 1,372,040/x
  3. Step 3: Cross multiply
    652,972x = 1,372,040 × 1,372,040
  4. Step 4: Simplify right side
    652,972x = 1,882,493,761,600
  5. Step 5: Solve for x
    x = 1,882,493,761,600/652,972
  6. Step 6: Final answer
    x = 2,882,962.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.