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Finding the Third Proportional to 847,600 and 1,796,288

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Solution

The third proportional to 847,600 and 1,796,288 is: 3,806,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,600 : 1,796,288 = 1,796,288 : x
  2. Step 2: Convert to fraction form
    847,600/1,796,288 = 1,796,288/x
  3. Step 3: Cross multiply
    847,600x = 1,796,288 × 1,796,288
  4. Step 4: Simplify right side
    847,600x = 3,226,650,578,944
  5. Step 5: Solve for x
    x = 3,226,650,578,944/847,600
  6. Step 6: Final answer
    x = 3,806,808.14

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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.