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Finding the Third Proportional to 652,622 and 919,051

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Solution

The third proportional to 652,622 and 919,051 is: 1,294,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,622 : 919,051 = 919,051 : x
  2. Step 2: Convert to fraction form
    652,622/919,051 = 919,051/x
  3. Step 3: Cross multiply
    652,622x = 919,051 × 919,051
  4. Step 4: Simplify right side
    652,622x = 844,654,740,601
  5. Step 5: Solve for x
    x = 844,654,740,601/652,622
  6. Step 6: Final answer
    x = 1,294,248.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.