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Finding the Third Proportional to 897,269 and 1,379,166

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Solution

The third proportional to 897,269 and 1,379,166 is: 2,119,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,269 : 1,379,166 = 1,379,166 : x
  2. Step 2: Convert to fraction form
    897,269/1,379,166 = 1,379,166/x
  3. Step 3: Cross multiply
    897,269x = 1,379,166 × 1,379,166
  4. Step 4: Simplify right side
    897,269x = 1,902,098,855,556
  5. Step 5: Solve for x
    x = 1,902,098,855,556/897,269
  6. Step 6: Final answer
    x = 2,119,875.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.