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Finding the Third Proportional to 433,948 and 940,066

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Solution

The third proportional to 433,948 and 940,066 is: 2,036,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,948 : 940,066 = 940,066 : x
  2. Step 2: Convert to fraction form
    433,948/940,066 = 940,066/x
  3. Step 3: Cross multiply
    433,948x = 940,066 × 940,066
  4. Step 4: Simplify right side
    433,948x = 883,724,084,356
  5. Step 5: Solve for x
    x = 883,724,084,356/433,948
  6. Step 6: Final answer
    x = 2,036,474.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.