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Finding the Third Proportional to 865,349 and 1,893,831

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Solution

The third proportional to 865,349 and 1,893,831 is: 4,144,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,349 : 1,893,831 = 1,893,831 : x
  2. Step 2: Convert to fraction form
    865,349/1,893,831 = 1,893,831/x
  3. Step 3: Cross multiply
    865,349x = 1,893,831 × 1,893,831
  4. Step 4: Simplify right side
    865,349x = 3,586,595,856,561
  5. Step 5: Solve for x
    x = 3,586,595,856,561/865,349
  6. Step 6: Final answer
    x = 4,144,681.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.