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Finding the Third Proportional to 922,807.50 and 1,444,692.75

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Solution

The third proportional to 922,807.50 and 1,444,692.75 is: 2,261,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,807.50 : 1,444,692.75 = 1,444,692.75 : x
  2. Step 2: Convert to fraction form
    922,807.50/1,444,692.75 = 1,444,692.75/x
  3. Step 3: Cross multiply
    922,807.50x = 1,444,692.75 × 1,444,692.75
  4. Step 4: Simplify right side
    922,807.50x = 2,087,137,141,902.56
  5. Step 5: Solve for x
    x = 2,087,137,141,902.56/922,807.50
  6. Step 6: Final answer
    x = 2,261,725.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.