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Finding the Third Proportional to 1,204,113 and 1,651,167

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Solution

The third proportional to 1,204,113 and 1,651,167 is: 2,264,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,113 : 1,651,167 = 1,651,167 : x
  2. Step 2: Convert to fraction form
    1,204,113/1,651,167 = 1,651,167/x
  3. Step 3: Cross multiply
    1,204,113x = 1,651,167 × 1,651,167
  4. Step 4: Simplify right side
    1,204,113x = 2,726,352,461,889
  5. Step 5: Solve for x
    x = 2,726,352,461,889/1,204,113
  6. Step 6: Final answer
    x = 2,264,199.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.