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Finding the Third Proportional to 785,997 and 1,186,465.50

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Solution

The third proportional to 785,997 and 1,186,465.50 is: 1,790,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,997 : 1,186,465.50 = 1,186,465.50 : x
  2. Step 2: Convert to fraction form
    785,997/1,186,465.50 = 1,186,465.50/x
  3. Step 3: Cross multiply
    785,997x = 1,186,465.50 × 1,186,465.50
  4. Step 4: Simplify right side
    785,997x = 1,407,700,382,690.25
  5. Step 5: Solve for x
    x = 1,407,700,382,690.25/785,997
  6. Step 6: Final answer
    x = 1,790,974.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.