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Finding the Third Proportional to 846,906 and 1,203,819

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Solution

The third proportional to 846,906 and 1,203,819 is: 1,711,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,906 : 1,203,819 = 1,203,819 : x
  2. Step 2: Convert to fraction form
    846,906/1,203,819 = 1,203,819/x
  3. Step 3: Cross multiply
    846,906x = 1,203,819 × 1,203,819
  4. Step 4: Simplify right side
    846,906x = 1,449,180,184,761
  5. Step 5: Solve for x
    x = 1,449,180,184,761/846,906
  6. Step 6: Final answer
    x = 1,711,146.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.