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Finding the Third Proportional to 814,716 and 1,235,619

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Solution

The third proportional to 814,716 and 1,235,619 is: 1,873,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,716 : 1,235,619 = 1,235,619 : x
  2. Step 2: Convert to fraction form
    814,716/1,235,619 = 1,235,619/x
  3. Step 3: Cross multiply
    814,716x = 1,235,619 × 1,235,619
  4. Step 4: Simplify right side
    814,716x = 1,526,754,313,161
  5. Step 5: Solve for x
    x = 1,526,754,313,161/814,716
  6. Step 6: Final answer
    x = 1,873,971.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.