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Finding the Third Proportional to 1,027,384 and 1,363,228

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Solution

The third proportional to 1,027,384 and 1,363,228 is: 1,808,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,384 : 1,363,228 = 1,363,228 : x
  2. Step 2: Convert to fraction form
    1,027,384/1,363,228 = 1,363,228/x
  3. Step 3: Cross multiply
    1,027,384x = 1,363,228 × 1,363,228
  4. Step 4: Simplify right side
    1,027,384x = 1,858,390,579,984
  5. Step 5: Solve for x
    x = 1,858,390,579,984/1,027,384
  6. Step 6: Final answer
    x = 1,808,856.84

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.