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Finding the Third Proportional to 2,048,902 and 3,006,923

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Solution

The third proportional to 2,048,902 and 3,006,923 is: 4,412,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,902 : 3,006,923 = 3,006,923 : x
  2. Step 2: Convert to fraction form
    2,048,902/3,006,923 = 3,006,923/x
  3. Step 3: Cross multiply
    2,048,902x = 3,006,923 × 3,006,923
  4. Step 4: Simplify right side
    2,048,902x = 9,041,585,927,929
  5. Step 5: Solve for x
    x = 9,041,585,927,929/2,048,902
  6. Step 6: Final answer
    x = 4,412,893.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.