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Finding the Third Proportional to 426,146.06 and 919,892.64

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Solution

The third proportional to 426,146.06 and 919,892.64 is: 1,985,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,146.06 : 919,892.64 = 919,892.64 : x
  2. Step 2: Convert to fraction form
    426,146.06/919,892.64 = 919,892.64/x
  3. Step 3: Cross multiply
    426,146.06x = 919,892.64 × 919,892.64
  4. Step 4: Simplify right side
    426,146.06x = 846,202,463,089.37
  5. Step 5: Solve for x
    x = 846,202,463,089.37/426,146.06
  6. Step 6: Final answer
    x = 1,985,709.92

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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.