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Finding the Third Proportional to 862,908 and 1,350,699

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Solution

The third proportional to 862,908 and 1,350,699 is: 2,114,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,908 : 1,350,699 = 1,350,699 : x
  2. Step 2: Convert to fraction form
    862,908/1,350,699 = 1,350,699/x
  3. Step 3: Cross multiply
    862,908x = 1,350,699 × 1,350,699
  4. Step 4: Simplify right side
    862,908x = 1,824,387,788,601
  5. Step 5: Solve for x
    x = 1,824,387,788,601/862,908
  6. Step 6: Final answer
    x = 2,114,232.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.