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Finding the Third Proportional to 948,147 and 2,007,804

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Solution

The third proportional to 948,147 and 2,007,804 is: 4,251,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,147 : 2,007,804 = 2,007,804 : x
  2. Step 2: Convert to fraction form
    948,147/2,007,804 = 2,007,804/x
  3. Step 3: Cross multiply
    948,147x = 2,007,804 × 2,007,804
  4. Step 4: Simplify right side
    948,147x = 4,031,276,902,416
  5. Step 5: Solve for x
    x = 4,031,276,902,416/948,147
  6. Step 6: Final answer
    x = 4,251,742.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.