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Finding the Third Proportional to 1,463,032 and 3,141,779

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Solution

The third proportional to 1,463,032 and 3,141,779 is: 6,746,793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,032 : 3,141,779 = 3,141,779 : x
  2. Step 2: Convert to fraction form
    1,463,032/3,141,779 = 3,141,779/x
  3. Step 3: Cross multiply
    1,463,032x = 3,141,779 × 3,141,779
  4. Step 4: Simplify right side
    1,463,032x = 9,870,775,284,841
  5. Step 5: Solve for x
    x = 9,870,775,284,841/1,463,032
  6. Step 6: Final answer
    x = 6,746,793.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.