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Finding the Third Proportional to 897,261 and 1,379,154

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Solution

The third proportional to 897,261 and 1,379,154 is: 2,119,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,261 : 1,379,154 = 1,379,154 : x
  2. Step 2: Convert to fraction form
    897,261/1,379,154 = 1,379,154/x
  3. Step 3: Cross multiply
    897,261x = 1,379,154 × 1,379,154
  4. Step 4: Simplify right side
    897,261x = 1,902,065,755,716
  5. Step 5: Solve for x
    x = 1,902,065,755,716/897,261
  6. Step 6: Final answer
    x = 2,119,857.83

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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.