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Finding the Third Proportional to 2,266,686 and 3,421,854

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Solution

The third proportional to 2,266,686 and 3,421,854 is: 5,165,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266,686 : 3,421,854 = 3,421,854 : x
  2. Step 2: Convert to fraction form
    2,266,686/3,421,854 = 3,421,854/x
  3. Step 3: Cross multiply
    2,266,686x = 3,421,854 × 3,421,854
  4. Step 4: Simplify right side
    2,266,686x = 11,709,084,797,316
  5. Step 5: Solve for x
    x = 11,709,084,797,316/2,266,686
  6. Step 6: Final answer
    x = 5,165,728.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.