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Finding the Third Proportional to 897,268 and 1,379,165

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Solution

The third proportional to 897,268 and 1,379,165 is: 2,119,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,268 : 1,379,165 = 1,379,165 : x
  2. Step 2: Convert to fraction form
    897,268/1,379,165 = 1,379,165/x
  3. Step 3: Cross multiply
    897,268x = 1,379,165 × 1,379,165
  4. Step 4: Simplify right side
    897,268x = 1,902,096,097,225
  5. Step 5: Solve for x
    x = 1,902,096,097,225/897,268
  6. Step 6: Final answer
    x = 2,119,875.11

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Why These Related Problems?

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