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Finding the Third Proportional to 426,127.50 and 946,846.13

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Solution

The third proportional to 426,127.50 and 946,846.13 is: 2,103,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,127.50 : 946,846.13 = 946,846.13 : x
  2. Step 2: Convert to fraction form
    426,127.50/946,846.13 = 946,846.13/x
  3. Step 3: Cross multiply
    426,127.50x = 946,846.13 × 946,846.13
  4. Step 4: Simplify right side
    426,127.50x = 896,517,584,427.52
  5. Step 5: Solve for x
    x = 896,517,584,427.52/426,127.50
  6. Step 6: Final answer
    x = 2,103,871.69

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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.