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Finding the Third Proportional to 800,887.50 and 1,703,511

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Solution

The third proportional to 800,887.50 and 1,703,511 is: 3,623,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,887.50 : 1,703,511 = 1,703,511 : x
  2. Step 2: Convert to fraction form
    800,887.50/1,703,511 = 1,703,511/x
  3. Step 3: Cross multiply
    800,887.50x = 1,703,511 × 1,703,511
  4. Step 4: Simplify right side
    800,887.50x = 2,901,949,727,121
  5. Step 5: Solve for x
    x = 2,901,949,727,121/800,887.50
  6. Step 6: Final answer
    x = 3,623,417.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.