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Finding the Third Proportional to 694,106.50 and 1,049,901

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Solution

The third proportional to 694,106.50 and 1,049,901 is: 1,588,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,106.50 : 1,049,901 = 1,049,901 : x
  2. Step 2: Convert to fraction form
    694,106.50/1,049,901 = 1,049,901/x
  3. Step 3: Cross multiply
    694,106.50x = 1,049,901 × 1,049,901
  4. Step 4: Simplify right side
    694,106.50x = 1,102,292,109,801
  5. Step 5: Solve for x
    x = 1,102,292,109,801/694,106.50
  6. Step 6: Final answer
    x = 1,588,073.46

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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.