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Finding the Third Proportional to 612,734 and 897,740

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Solution

The third proportional to 612,734 and 897,740 is: 1,315,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,734 : 897,740 = 897,740 : x
  2. Step 2: Convert to fraction form
    612,734/897,740 = 897,740/x
  3. Step 3: Cross multiply
    612,734x = 897,740 × 897,740
  4. Step 4: Simplify right side
    612,734x = 805,937,107,600
  5. Step 5: Solve for x
    x = 805,937,107,600/612,734
  6. Step 6: Final answer
    x = 1,315,313.18

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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.