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Finding the Third Proportional to 612,730 and 897,734

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Solution

The third proportional to 612,730 and 897,734 is: 1,315,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,730 : 897,734 = 897,734 : x
  2. Step 2: Convert to fraction form
    612,730/897,734 = 897,734/x
  3. Step 3: Cross multiply
    612,730x = 897,734 × 897,734
  4. Step 4: Simplify right side
    612,730x = 805,926,334,756
  5. Step 5: Solve for x
    x = 805,926,334,756/612,730
  6. Step 6: Final answer
    x = 1,315,304.19

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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.