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Finding the Third Proportional to 798,871.50 and 1,123,661.25

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Solution

The third proportional to 798,871.50 and 1,123,661.25 is: 1,580,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,871.50 : 1,123,661.25 = 1,123,661.25 : x
  2. Step 2: Convert to fraction form
    798,871.50/1,123,661.25 = 1,123,661.25/x
  3. Step 3: Cross multiply
    798,871.50x = 1,123,661.25 × 1,123,661.25
  4. Step 4: Simplify right side
    798,871.50x = 1,262,614,604,751.56
  5. Step 5: Solve for x
    x = 1,262,614,604,751.56/798,871.50
  6. Step 6: Final answer
    x = 1,580,497.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.