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Finding the Third Proportional to 492,464.81 and 1,060,916.06

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Solution

The third proportional to 492,464.81 and 1,060,916.06 is: 2,285,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,464.81 : 1,060,916.06 = 1,060,916.06 : x
  2. Step 2: Convert to fraction form
    492,464.81/1,060,916.06 = 1,060,916.06/x
  3. Step 3: Cross multiply
    492,464.81x = 1,060,916.06 × 1,060,916.06
  4. Step 4: Simplify right side
    492,464.81x = 1,125,542,891,670.50
  5. Step 5: Solve for x
    x = 1,125,542,891,670.50/492,464.81
  6. Step 6: Final answer
    x = 2,285,529.57

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Why These Related Problems?

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