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Finding the Third Proportional to 857,769 and 1,261,701

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Solution

The third proportional to 857,769 and 1,261,701 is: 1,855,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,769 : 1,261,701 = 1,261,701 : x
  2. Step 2: Convert to fraction form
    857,769/1,261,701 = 1,261,701/x
  3. Step 3: Cross multiply
    857,769x = 1,261,701 × 1,261,701
  4. Step 4: Simplify right side
    857,769x = 1,591,889,413,401
  5. Step 5: Solve for x
    x = 1,591,889,413,401/857,769
  6. Step 6: Final answer
    x = 1,855,848.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.