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Finding the Third Proportional to 612,510 and 897,993

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Solution

The third proportional to 612,510 and 897,993 is: 1,316,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,510 : 897,993 = 897,993 : x
  2. Step 2: Convert to fraction form
    612,510/897,993 = 897,993/x
  3. Step 3: Cross multiply
    612,510x = 897,993 × 897,993
  4. Step 4: Simplify right side
    612,510x = 806,391,428,049
  5. Step 5: Solve for x
    x = 806,391,428,049/612,510
  6. Step 6: Final answer
    x = 1,316,535.94

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