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Finding the Third Proportional to 1,340,646.19 and 3,162,181.78

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Solution

The third proportional to 1,340,646.19 and 3,162,181.78 is: 7,458,637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,646.19 : 3,162,181.78 = 3,162,181.78 : x
  2. Step 2: Convert to fraction form
    1,340,646.19/3,162,181.78 = 3,162,181.78/x
  3. Step 3: Cross multiply
    1,340,646.19x = 3,162,181.78 × 3,162,181.78
  4. Step 4: Simplify right side
    1,340,646.19x = 9,999,393,617,669.42
  5. Step 5: Solve for x
    x = 9,999,393,617,669.42/1,340,646.19
  6. Step 6: Final answer
    x = 7,458,637.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.