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Finding the Third Proportional to 847,877 and 1,796,842

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Solution

The third proportional to 847,877 and 1,796,842 is: 3,807,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,877 : 1,796,842 = 1,796,842 : x
  2. Step 2: Convert to fraction form
    847,877/1,796,842 = 1,796,842/x
  3. Step 3: Cross multiply
    847,877x = 1,796,842 × 1,796,842
  4. Step 4: Simplify right side
    847,877x = 3,228,641,172,964
  5. Step 5: Solve for x
    x = 3,228,641,172,964/847,877
  6. Step 6: Final answer
    x = 3,807,912.20

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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.