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Finding the Third Proportional to 381,810 and 794,637

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Solution

The third proportional to 381,810 and 794,637 is: 1,653,827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,810 : 794,637 = 794,637 : x
  2. Step 2: Convert to fraction form
    381,810/794,637 = 794,637/x
  3. Step 3: Cross multiply
    381,810x = 794,637 × 794,637
  4. Step 4: Simplify right side
    381,810x = 631,447,961,769
  5. Step 5: Solve for x
    x = 631,447,961,769/381,810
  6. Step 6: Final answer
    x = 1,653,827.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.