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Finding the Third Proportional to 537,934.50 and 1,268,028

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Solution

The third proportional to 537,934.50 and 1,268,028 is: 2,989,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,934.50 : 1,268,028 = 1,268,028 : x
  2. Step 2: Convert to fraction form
    537,934.50/1,268,028 = 1,268,028/x
  3. Step 3: Cross multiply
    537,934.50x = 1,268,028 × 1,268,028
  4. Step 4: Simplify right side
    537,934.50x = 1,607,895,008,784
  5. Step 5: Solve for x
    x = 1,607,895,008,784/537,934.50
  6. Step 6: Final answer
    x = 2,989,016.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.