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Finding the Third Proportional to 857,747 and 1,261,668

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Solution

The third proportional to 857,747 and 1,261,668 is: 1,855,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,747 : 1,261,668 = 1,261,668 : x
  2. Step 2: Convert to fraction form
    857,747/1,261,668 = 1,261,668/x
  3. Step 3: Cross multiply
    857,747x = 1,261,668 × 1,261,668
  4. Step 4: Simplify right side
    857,747x = 1,591,806,142,224
  5. Step 5: Solve for x
    x = 1,591,806,142,224/857,747
  6. Step 6: Final answer
    x = 1,855,799.14

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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.