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Finding the Third Proportional to 1,702,896 and 2,618,251

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Solution

The third proportional to 1,702,896 and 2,618,251 is: 4,025,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702,896 : 2,618,251 = 2,618,251 : x
  2. Step 2: Convert to fraction form
    1,702,896/2,618,251 = 2,618,251/x
  3. Step 3: Cross multiply
    1,702,896x = 2,618,251 × 2,618,251
  4. Step 4: Simplify right side
    1,702,896x = 6,855,238,299,001
  5. Step 5: Solve for x
    x = 6,855,238,299,001/1,702,896
  6. Step 6: Final answer
    x = 4,025,635.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.