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Finding the Third Proportional to 652,201 and 1,412,966

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Solution

The third proportional to 652,201 and 1,412,966 is: 3,061,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,201 : 1,412,966 = 1,412,966 : x
  2. Step 2: Convert to fraction form
    652,201/1,412,966 = 1,412,966/x
  3. Step 3: Cross multiply
    652,201x = 1,412,966 × 1,412,966
  4. Step 4: Simplify right side
    652,201x = 1,996,472,917,156
  5. Step 5: Solve for x
    x = 1,996,472,917,156/652,201
  6. Step 6: Final answer
    x = 3,061,131.33

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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.