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Finding the Third Proportional to 898,674 and 1,351,659

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Solution

The third proportional to 898,674 and 1,351,659 is: 2,032,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,674 : 1,351,659 = 1,351,659 : x
  2. Step 2: Convert to fraction form
    898,674/1,351,659 = 1,351,659/x
  3. Step 3: Cross multiply
    898,674x = 1,351,659 × 1,351,659
  4. Step 4: Simplify right side
    898,674x = 1,826,982,052,281
  5. Step 5: Solve for x
    x = 1,826,982,052,281/898,674
  6. Step 6: Final answer
    x = 2,032,975.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.