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Finding the Third Proportional to 884,859 and 1,366,406

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Solution

The third proportional to 884,859 and 1,366,406 is: 2,110,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,859 : 1,366,406 = 1,366,406 : x
  2. Step 2: Convert to fraction form
    884,859/1,366,406 = 1,366,406/x
  3. Step 3: Cross multiply
    884,859x = 1,366,406 × 1,366,406
  4. Step 4: Simplify right side
    884,859x = 1,867,065,356,836
  5. Step 5: Solve for x
    x = 1,867,065,356,836/884,859
  6. Step 6: Final answer
    x = 2,110,014.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.