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Finding the Third Proportional to 652,212 and 1,412,982

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Solution

The third proportional to 652,212 and 1,412,982 is: 3,061,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,212 : 1,412,982 = 1,412,982 : x
  2. Step 2: Convert to fraction form
    652,212/1,412,982 = 1,412,982/x
  3. Step 3: Cross multiply
    652,212x = 1,412,982 × 1,412,982
  4. Step 4: Simplify right side
    652,212x = 1,996,518,132,324
  5. Step 5: Solve for x
    x = 1,996,518,132,324/652,212
  6. Step 6: Final answer
    x = 3,061,149.03

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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.