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Finding the Third Proportional to 1,268,834 and 1,868,203

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Solution

The third proportional to 1,268,834 and 1,868,203 is: 2,750,700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,834 : 1,868,203 = 1,868,203 : x
  2. Step 2: Convert to fraction form
    1,268,834/1,868,203 = 1,868,203/x
  3. Step 3: Cross multiply
    1,268,834x = 1,868,203 × 1,868,203
  4. Step 4: Simplify right side
    1,268,834x = 3,490,182,449,209
  5. Step 5: Solve for x
    x = 3,490,182,449,209/1,268,834
  6. Step 6: Final answer
    x = 2,750,700.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.