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Finding the Third Proportional to 814,323 and 1,702,878

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Solution

The third proportional to 814,323 and 1,702,878 is: 3,560,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,323 : 1,702,878 = 1,702,878 : x
  2. Step 2: Convert to fraction form
    814,323/1,702,878 = 1,702,878/x
  3. Step 3: Cross multiply
    814,323x = 1,702,878 × 1,702,878
  4. Step 4: Simplify right side
    814,323x = 2,899,793,482,884
  5. Step 5: Solve for x
    x = 2,899,793,482,884/814,323
  6. Step 6: Final answer
    x = 3,560,986.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.