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Finding the Third Proportional to 426,390.75 and 927,949.50

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Solution

The third proportional to 426,390.75 and 927,949.50 is: 2,019,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,390.75 : 927,949.50 = 927,949.50 : x
  2. Step 2: Convert to fraction form
    426,390.75/927,949.50 = 927,949.50/x
  3. Step 3: Cross multiply
    426,390.75x = 927,949.50 × 927,949.50
  4. Step 4: Simplify right side
    426,390.75x = 861,090,274,550.25
  5. Step 5: Solve for x
    x = 861,090,274,550.25/426,390.75
  6. Step 6: Final answer
    x = 2,019,486.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.