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Finding the Third Proportional to 817,458 and 1,978,035

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Solution

The third proportional to 817,458 and 1,978,035 is: 4,786,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,458 : 1,978,035 = 1,978,035 : x
  2. Step 2: Convert to fraction form
    817,458/1,978,035 = 1,978,035/x
  3. Step 3: Cross multiply
    817,458x = 1,978,035 × 1,978,035
  4. Step 4: Simplify right side
    817,458x = 3,912,622,461,225
  5. Step 5: Solve for x
    x = 3,912,622,461,225/817,458
  6. Step 6: Final answer
    x = 4,786,328.42

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.