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Finding the Third Proportional to 652,214 and 1,412,986

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Solution

The third proportional to 652,214 and 1,412,986 is: 3,061,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,214 : 1,412,986 = 1,412,986 : x
  2. Step 2: Convert to fraction form
    652,214/1,412,986 = 1,412,986/x
  3. Step 3: Cross multiply
    652,214x = 1,412,986 × 1,412,986
  4. Step 4: Simplify right side
    652,214x = 1,996,529,436,196
  5. Step 5: Solve for x
    x = 1,996,529,436,196/652,214
  6. Step 6: Final answer
    x = 3,061,156.98

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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.