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Finding the Third Proportional to 381,565 and 828,737

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Solution

The third proportional to 381,565 and 828,737 is: 1,799,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,565 : 828,737 = 828,737 : x
  2. Step 2: Convert to fraction form
    381,565/828,737 = 828,737/x
  3. Step 3: Cross multiply
    381,565x = 828,737 × 828,737
  4. Step 4: Simplify right side
    381,565x = 686,805,015,169
  5. Step 5: Solve for x
    x = 686,805,015,169/381,565
  6. Step 6: Final answer
    x = 1,799,968.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.