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Finding the Third Proportional to 737,113 and 1,081,167

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Solution

The third proportional to 737,113 and 1,081,167 is: 1,585,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,113 : 1,081,167 = 1,081,167 : x
  2. Step 2: Convert to fraction form
    737,113/1,081,167 = 1,081,167/x
  3. Step 3: Cross multiply
    737,113x = 1,081,167 × 1,081,167
  4. Step 4: Simplify right side
    737,113x = 1,168,922,081,889
  5. Step 5: Solve for x
    x = 1,168,922,081,889/737,113
  6. Step 6: Final answer
    x = 1,585,811.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.