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Finding the Third Proportional to 898,832 and 1,264,271

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Solution

The third proportional to 898,832 and 1,264,271 is: 1,778,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,832 : 1,264,271 = 1,264,271 : x
  2. Step 2: Convert to fraction form
    898,832/1,264,271 = 1,264,271/x
  3. Step 3: Cross multiply
    898,832x = 1,264,271 × 1,264,271
  4. Step 4: Simplify right side
    898,832x = 1,598,381,161,441
  5. Step 5: Solve for x
    x = 1,598,381,161,441/898,832
  6. Step 6: Final answer
    x = 1,778,286.89

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.