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Finding the Third Proportional to 1,865,127.50 and 2,965,830

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Solution

The third proportional to 1,865,127.50 and 2,965,830 is: 4,716,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,127.50 : 2,965,830 = 2,965,830 : x
  2. Step 2: Convert to fraction form
    1,865,127.50/2,965,830 = 2,965,830/x
  3. Step 3: Cross multiply
    1,865,127.50x = 2,965,830 × 2,965,830
  4. Step 4: Simplify right side
    1,865,127.50x = 8,796,147,588,900
  5. Step 5: Solve for x
    x = 8,796,147,588,900/1,865,127.50
  6. Step 6: Final answer
    x = 4,716,110.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.