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Finding the Third Proportional to 426,127 and 946,845

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Solution

The third proportional to 426,127 and 946,845 is: 2,103,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,127 : 946,845 = 946,845 : x
  2. Step 2: Convert to fraction form
    426,127/946,845 = 946,845/x
  3. Step 3: Cross multiply
    426,127x = 946,845 × 946,845
  4. Step 4: Simplify right side
    426,127x = 896,515,454,025
  5. Step 5: Solve for x
    x = 896,515,454,025/426,127
  6. Step 6: Final answer
    x = 2,103,869.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.