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Finding the Third Proportional to 1,294,524 and 2,009,946

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Solution

The third proportional to 1,294,524 and 2,009,946 is: 3,120,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,524 : 2,009,946 = 2,009,946 : x
  2. Step 2: Convert to fraction form
    1,294,524/2,009,946 = 2,009,946/x
  3. Step 3: Cross multiply
    1,294,524x = 2,009,946 × 2,009,946
  4. Step 4: Simplify right side
    1,294,524x = 4,039,882,922,916
  5. Step 5: Solve for x
    x = 4,039,882,922,916/1,294,524
  6. Step 6: Final answer
    x = 3,120,747.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.