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Finding the Third Proportional to 652,193 and 1,412,952

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Solution

The third proportional to 652,193 and 1,412,952 is: 3,061,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,193 : 1,412,952 = 1,412,952 : x
  2. Step 2: Convert to fraction form
    652,193/1,412,952 = 1,412,952/x
  3. Step 3: Cross multiply
    652,193x = 1,412,952 × 1,412,952
  4. Step 4: Simplify right side
    652,193x = 1,996,433,354,304
  5. Step 5: Solve for x
    x = 1,996,433,354,304/652,193
  6. Step 6: Final answer
    x = 3,061,108.22

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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.