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Finding the Third Proportional to 865,357 and 1,893,847

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Solution

The third proportional to 865,357 and 1,893,847 is: 4,144,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,357 : 1,893,847 = 1,893,847 : x
  2. Step 2: Convert to fraction form
    865,357/1,893,847 = 1,893,847/x
  3. Step 3: Cross multiply
    865,357x = 1,893,847 × 1,893,847
  4. Step 4: Simplify right side
    865,357x = 3,586,656,459,409
  5. Step 5: Solve for x
    x = 3,586,656,459,409/865,357
  6. Step 6: Final answer
    x = 4,144,713.06

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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.