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Finding the Third Proportional to 469,420 and 1,013,662

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Solution

The third proportional to 469,420 and 1,013,662 is: 2,188,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,420 : 1,013,662 = 1,013,662 : x
  2. Step 2: Convert to fraction form
    469,420/1,013,662 = 1,013,662/x
  3. Step 3: Cross multiply
    469,420x = 1,013,662 × 1,013,662
  4. Step 4: Simplify right side
    469,420x = 1,027,510,650,244
  5. Step 5: Solve for x
    x = 1,027,510,650,244/469,420
  6. Step 6: Final answer
    x = 2,188,894.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.