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Finding the Third Proportional to 502,784 and 1,094,176

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Solution

The third proportional to 502,784 and 1,094,176 is: 2,381,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,784 : 1,094,176 = 1,094,176 : x
  2. Step 2: Convert to fraction form
    502,784/1,094,176 = 1,094,176/x
  3. Step 3: Cross multiply
    502,784x = 1,094,176 × 1,094,176
  4. Step 4: Simplify right side
    502,784x = 1,197,221,118,976
  5. Step 5: Solve for x
    x = 1,197,221,118,976/502,784
  6. Step 6: Final answer
    x = 2,381,183.81

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