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Finding the Third Proportional to 996,457.50 and 1,586,310.75

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Solution

The third proportional to 996,457.50 and 1,586,310.75 is: 2,525,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,457.50 : 1,586,310.75 = 1,586,310.75 : x
  2. Step 2: Convert to fraction form
    996,457.50/1,586,310.75 = 1,586,310.75/x
  3. Step 3: Cross multiply
    996,457.50x = 1,586,310.75 × 1,586,310.75
  4. Step 4: Simplify right side
    996,457.50x = 2,516,381,795,565.56
  5. Step 5: Solve for x
    x = 2,516,381,795,565.56/996,457.50
  6. Step 6: Final answer
    x = 2,525,327.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.