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Finding the Third Proportional to 1,027,894 and 2,232,206

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Solution

The third proportional to 1,027,894 and 2,232,206 is: 4,847,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,894 : 2,232,206 = 2,232,206 : x
  2. Step 2: Convert to fraction form
    1,027,894/2,232,206 = 2,232,206/x
  3. Step 3: Cross multiply
    1,027,894x = 2,232,206 × 2,232,206
  4. Step 4: Simplify right side
    1,027,894x = 4,982,743,626,436
  5. Step 5: Solve for x
    x = 4,982,743,626,436/1,027,894
  6. Step 6: Final answer
    x = 4,847,526.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.