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Finding the Third Proportional to 612,722 and 897,723

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Solution

The third proportional to 612,722 and 897,723 is: 1,315,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,722 : 897,723 = 897,723 : x
  2. Step 2: Convert to fraction form
    612,722/897,723 = 897,723/x
  3. Step 3: Cross multiply
    612,722x = 897,723 × 897,723
  4. Step 4: Simplify right side
    612,722x = 805,906,584,729
  5. Step 5: Solve for x
    x = 805,906,584,729/612,722
  6. Step 6: Final answer
    x = 1,315,289.13

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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.