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Finding the Third Proportional to 898,834 and 1,264,274

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Solution

The third proportional to 898,834 and 1,264,274 is: 1,778,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,834 : 1,264,274 = 1,264,274 : x
  2. Step 2: Convert to fraction form
    898,834/1,264,274 = 1,264,274/x
  3. Step 3: Cross multiply
    898,834x = 1,264,274 × 1,264,274
  4. Step 4: Simplify right side
    898,834x = 1,598,388,747,076
  5. Step 5: Solve for x
    x = 1,598,388,747,076/898,834
  6. Step 6: Final answer
    x = 1,778,291.37

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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.