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Finding the Third Proportional to 424,116 and 897,318

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Solution

The third proportional to 424,116 and 897,318 is: 1,898,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,116 : 897,318 = 897,318 : x
  2. Step 2: Convert to fraction form
    424,116/897,318 = 897,318/x
  3. Step 3: Cross multiply
    424,116x = 897,318 × 897,318
  4. Step 4: Simplify right side
    424,116x = 805,179,593,124
  5. Step 5: Solve for x
    x = 805,179,593,124/424,116
  6. Step 6: Final answer
    x = 1,898,489.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.