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Finding the Third Proportional to 785,473.50 and 1,228,754.25

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Solution

The third proportional to 785,473.50 and 1,228,754.25 is: 1,922,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,473.50 : 1,228,754.25 = 1,228,754.25 : x
  2. Step 2: Convert to fraction form
    785,473.50/1,228,754.25 = 1,228,754.25/x
  3. Step 3: Cross multiply
    785,473.50x = 1,228,754.25 × 1,228,754.25
  4. Step 4: Simplify right side
    785,473.50x = 1,509,837,006,893.06
  5. Step 5: Solve for x
    x = 1,509,837,006,893.06/785,473.50
  6. Step 6: Final answer
    x = 1,922,199.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.