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Finding the Third Proportional to 783,042.75 and 1,709,901

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Solution

The third proportional to 783,042.75 and 1,709,901 is: 3,733,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,042.75 : 1,709,901 = 1,709,901 : x
  2. Step 2: Convert to fraction form
    783,042.75/1,709,901 = 1,709,901/x
  3. Step 3: Cross multiply
    783,042.75x = 1,709,901 × 1,709,901
  4. Step 4: Simplify right side
    783,042.75x = 2,923,761,429,801
  5. Step 5: Solve for x
    x = 2,923,761,429,801/783,042.75
  6. Step 6: Final answer
    x = 3,733,846.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.