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Finding the Third Proportional to 415,626 and 896,112

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Solution

The third proportional to 415,626 and 896,112 is: 1,932,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,626 : 896,112 = 896,112 : x
  2. Step 2: Convert to fraction form
    415,626/896,112 = 896,112/x
  3. Step 3: Cross multiply
    415,626x = 896,112 × 896,112
  4. Step 4: Simplify right side
    415,626x = 803,016,716,544
  5. Step 5: Solve for x
    x = 803,016,716,544/415,626
  6. Step 6: Final answer
    x = 1,932,065.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.