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Finding the Third Proportional to 1,295,916.75 and 2,879,463.94

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Solution

The third proportional to 1,295,916.75 and 2,879,463.94 is: 6,398,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,916.75 : 2,879,463.94 = 2,879,463.94 : x
  2. Step 2: Convert to fraction form
    1,295,916.75/2,879,463.94 = 2,879,463.94/x
  3. Step 3: Cross multiply
    1,295,916.75x = 2,879,463.94 × 2,879,463.94
  4. Step 4: Simplify right side
    1,295,916.75x = 8,291,312,567,363.00
  5. Step 5: Solve for x
    x = 8,291,312,567,363.00/1,295,916.75
  6. Step 6: Final answer
    x = 6,398,028.71

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.