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Finding the Third Proportional to 839,558.50 and 1,261,798.13

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Solution

The third proportional to 839,558.50 and 1,261,798.13 is: 1,896,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,558.50 : 1,261,798.13 = 1,261,798.13 : x
  2. Step 2: Convert to fraction form
    839,558.50/1,261,798.13 = 1,261,798.13/x
  3. Step 3: Cross multiply
    839,558.50x = 1,261,798.13 × 1,261,798.13
  4. Step 4: Simplify right side
    839,558.50x = 1,592,134,508,253.52
  5. Step 5: Solve for x
    x = 1,592,134,508,253.52/839,558.50
  6. Step 6: Final answer
    x = 1,896,394.96

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Why These Related Problems?

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