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Finding the Third Proportional to 2,165,047 and 3,026,862

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Solution

The third proportional to 2,165,047 and 3,026,862 is: 4,231,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165,047 : 3,026,862 = 3,026,862 : x
  2. Step 2: Convert to fraction form
    2,165,047/3,026,862 = 3,026,862/x
  3. Step 3: Cross multiply
    2,165,047x = 3,026,862 × 3,026,862
  4. Step 4: Simplify right side
    2,165,047x = 9,161,893,567,044
  5. Step 5: Solve for x
    x = 9,161,893,567,044/2,165,047
  6. Step 6: Final answer
    x = 4,231,729.64

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.