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Finding the Third Proportional to 438,164 and 897,052

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Solution

The third proportional to 438,164 and 897,052 is: 1,836,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,164 : 897,052 = 897,052 : x
  2. Step 2: Convert to fraction form
    438,164/897,052 = 897,052/x
  3. Step 3: Cross multiply
    438,164x = 897,052 × 897,052
  4. Step 4: Simplify right side
    438,164x = 804,702,290,704
  5. Step 5: Solve for x
    x = 804,702,290,704/438,164
  6. Step 6: Final answer
    x = 1,836,532.19

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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.