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Finding the Third Proportional to 1,204,076 and 1,640,007

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Solution

The third proportional to 1,204,076 and 1,640,007 is: 2,233,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,076 : 1,640,007 = 1,640,007 : x
  2. Step 2: Convert to fraction form
    1,204,076/1,640,007 = 1,640,007/x
  3. Step 3: Cross multiply
    1,204,076x = 1,640,007 × 1,640,007
  4. Step 4: Simplify right side
    1,204,076x = 2,689,622,960,049
  5. Step 5: Solve for x
    x = 2,689,622,960,049/1,204,076
  6. Step 6: Final answer
    x = 2,233,765.11

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.