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Finding the Third Proportional to 652,013 and 1,412,552

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Solution

The third proportional to 652,013 and 1,412,552 is: 3,060,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,013 : 1,412,552 = 1,412,552 : x
  2. Step 2: Convert to fraction form
    652,013/1,412,552 = 1,412,552/x
  3. Step 3: Cross multiply
    652,013x = 1,412,552 × 1,412,552
  4. Step 4: Simplify right side
    652,013x = 1,995,303,152,704
  5. Step 5: Solve for x
    x = 1,995,303,152,704/652,013
  6. Step 6: Final answer
    x = 3,060,219.89

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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.