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Finding the Third Proportional to 813,216 and 1,264,112

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Solution

The third proportional to 813,216 and 1,264,112 is: 1,965,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,216 : 1,264,112 = 1,264,112 : x
  2. Step 2: Convert to fraction form
    813,216/1,264,112 = 1,264,112/x
  3. Step 3: Cross multiply
    813,216x = 1,264,112 × 1,264,112
  4. Step 4: Simplify right side
    813,216x = 1,597,979,148,544
  5. Step 5: Solve for x
    x = 1,597,979,148,544/813,216
  6. Step 6: Final answer
    x = 1,965,011.94

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Why These Related Problems?

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