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Finding the Third Proportional to 1,025,769 and 2,209,288

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Solution

The third proportional to 1,025,769 and 2,209,288 is: 4,758,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,769 : 2,209,288 = 2,209,288 : x
  2. Step 2: Convert to fraction form
    1,025,769/2,209,288 = 2,209,288/x
  3. Step 3: Cross multiply
    1,025,769x = 2,209,288 × 2,209,288
  4. Step 4: Simplify right side
    1,025,769x = 4,880,953,466,944
  5. Step 5: Solve for x
    x = 4,880,953,466,944/1,025,769
  6. Step 6: Final answer
    x = 4,758,335.91

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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.