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Finding the Third Proportional to 652,216 and 1,412,990

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Solution

The third proportional to 652,216 and 1,412,990 is: 3,061,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,216 : 1,412,990 = 1,412,990 : x
  2. Step 2: Convert to fraction form
    652,216/1,412,990 = 1,412,990/x
  3. Step 3: Cross multiply
    652,216x = 1,412,990 × 1,412,990
  4. Step 4: Simplify right side
    652,216x = 1,996,540,740,100
  5. Step 5: Solve for x
    x = 1,996,540,740,100/652,216
  6. Step 6: Final answer
    x = 3,061,164.92

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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.