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Finding the Third Proportional to 806,189 and 1,165,407

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Solution

The third proportional to 806,189 and 1,165,407 is: 1,684,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,189 : 1,165,407 = 1,165,407 : x
  2. Step 2: Convert to fraction form
    806,189/1,165,407 = 1,165,407/x
  3. Step 3: Cross multiply
    806,189x = 1,165,407 × 1,165,407
  4. Step 4: Simplify right side
    806,189x = 1,358,173,475,649
  5. Step 5: Solve for x
    x = 1,358,173,475,649/806,189
  6. Step 6: Final answer
    x = 1,684,683.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.