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Finding the Third Proportional to 902,337.19 and 1,376,233.31

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Solution

The third proportional to 902,337.19 and 1,376,233.31 is: 2,099,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,337.19 : 1,376,233.31 = 1,376,233.31 : x
  2. Step 2: Convert to fraction form
    902,337.19/1,376,233.31 = 1,376,233.31/x
  3. Step 3: Cross multiply
    902,337.19x = 1,376,233.31 × 1,376,233.31
  4. Step 4: Simplify right side
    902,337.19x = 1,894,018,130,434.72
  5. Step 5: Solve for x
    x = 1,894,018,130,434.72/902,337.19
  6. Step 6: Final answer
    x = 2,099,013.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.