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Finding the Third Proportional to 1,272,176 and 1,783,120

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Solution

The third proportional to 1,272,176 and 1,783,120 is: 2,499,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,176 : 1,783,120 = 1,783,120 : x
  2. Step 2: Convert to fraction form
    1,272,176/1,783,120 = 1,783,120/x
  3. Step 3: Cross multiply
    1,272,176x = 1,783,120 × 1,783,120
  4. Step 4: Simplify right side
    1,272,176x = 3,179,516,934,400
  5. Step 5: Solve for x
    x = 3,179,516,934,400/1,272,176
  6. Step 6: Final answer
    x = 2,499,274.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.