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Finding the Third Proportional to 1,025,734 and 2,209,216

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Solution

The third proportional to 1,025,734 and 2,209,216 is: 4,758,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,734 : 2,209,216 = 2,209,216 : x
  2. Step 2: Convert to fraction form
    1,025,734/2,209,216 = 2,209,216/x
  3. Step 3: Cross multiply
    1,025,734x = 2,209,216 × 2,209,216
  4. Step 4: Simplify right side
    1,025,734x = 4,880,635,334,656
  5. Step 5: Solve for x
    x = 4,880,635,334,656/1,025,734
  6. Step 6: Final answer
    x = 4,758,188.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.