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Finding the Third Proportional to 2,431,816 and 4,172,588

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Solution

The third proportional to 2,431,816 and 4,172,588 is: 7,159,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,816 : 4,172,588 = 4,172,588 : x
  2. Step 2: Convert to fraction form
    2,431,816/4,172,588 = 4,172,588/x
  3. Step 3: Cross multiply
    2,431,816x = 4,172,588 × 4,172,588
  4. Step 4: Simplify right side
    2,431,816x = 17,410,490,617,744
  5. Step 5: Solve for x
    x = 17,410,490,617,744/2,431,816
  6. Step 6: Final answer
    x = 7,159,460.51

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.