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Finding the Third Proportional to 2,145,402 and 3,181,023

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Solution

The third proportional to 2,145,402 and 3,181,023 is: 4,716,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,402 : 3,181,023 = 3,181,023 : x
  2. Step 2: Convert to fraction form
    2,145,402/3,181,023 = 3,181,023/x
  3. Step 3: Cross multiply
    2,145,402x = 3,181,023 × 3,181,023
  4. Step 4: Simplify right side
    2,145,402x = 10,118,907,326,529
  5. Step 5: Solve for x
    x = 10,118,907,326,529/2,145,402
  6. Step 6: Final answer
    x = 4,716,555.37

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.