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Finding the Third Proportional to 978,316.50 and 1,462,977

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Solution

The third proportional to 978,316.50 and 1,462,977 is: 2,187,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,316.50 : 1,462,977 = 1,462,977 : x
  2. Step 2: Convert to fraction form
    978,316.50/1,462,977 = 1,462,977/x
  3. Step 3: Cross multiply
    978,316.50x = 1,462,977 × 1,462,977
  4. Step 4: Simplify right side
    978,316.50x = 2,140,301,702,529
  5. Step 5: Solve for x
    x = 2,140,301,702,529/978,316.50
  6. Step 6: Final answer
    x = 2,187,739.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.