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Finding the Third Proportional to 736,890 and 1,081,161

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Solution

The third proportional to 736,890 and 1,081,161 is: 1,586,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,890 : 1,081,161 = 1,081,161 : x
  2. Step 2: Convert to fraction form
    736,890/1,081,161 = 1,081,161/x
  3. Step 3: Cross multiply
    736,890x = 1,081,161 × 1,081,161
  4. Step 4: Simplify right side
    736,890x = 1,168,909,107,921
  5. Step 5: Solve for x
    x = 1,168,909,107,921/736,890
  6. Step 6: Final answer
    x = 1,586,273.54

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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.