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Finding the Third Proportional to 426,125.42 and 946,840.72

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Solution

The third proportional to 426,125.42 and 946,840.72 is: 2,103,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,125.42 : 946,840.72 = 946,840.72 : x
  2. Step 2: Convert to fraction form
    426,125.42/946,840.72 = 946,840.72/x
  3. Step 3: Cross multiply
    426,125.42x = 946,840.72 × 946,840.72
  4. Step 4: Simplify right side
    426,125.42x = 896,507,348,532.39
  5. Step 5: Solve for x
    x = 896,507,348,532.39/426,125.42
  6. Step 6: Final answer
    x = 2,103,857.96

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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.