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Finding the Third Proportional to 865,359.75 and 1,896,783

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Solution

The third proportional to 865,359.75 and 1,896,783 is: 4,157,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,359.75 : 1,896,783 = 1,896,783 : x
  2. Step 2: Convert to fraction form
    865,359.75/1,896,783 = 1,896,783/x
  3. Step 3: Cross multiply
    865,359.75x = 1,896,783 × 1,896,783
  4. Step 4: Simplify right side
    865,359.75x = 3,597,785,749,089
  5. Step 5: Solve for x
    x = 3,597,785,749,089/865,359.75
  6. Step 6: Final answer
    x = 4,157,560.77

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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.