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Finding the Third Proportional to 438,177 and 897,078

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Solution

The third proportional to 438,177 and 897,078 is: 1,836,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,177 : 897,078 = 897,078 : x
  2. Step 2: Convert to fraction form
    438,177/897,078 = 897,078/x
  3. Step 3: Cross multiply
    438,177x = 897,078 × 897,078
  4. Step 4: Simplify right side
    438,177x = 804,748,938,084
  5. Step 5: Solve for x
    x = 804,748,938,084/438,177
  6. Step 6: Final answer
    x = 1,836,584.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.