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Finding the Third Proportional to 694,341 and 1,082,110.50

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Solution

The third proportional to 694,341 and 1,082,110.50 is: 1,686,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,341 : 1,082,110.50 = 1,082,110.50 : x
  2. Step 2: Convert to fraction form
    694,341/1,082,110.50 = 1,082,110.50/x
  3. Step 3: Cross multiply
    694,341x = 1,082,110.50 × 1,082,110.50
  4. Step 4: Simplify right side
    694,341x = 1,170,963,134,210.25
  5. Step 5: Solve for x
    x = 1,170,963,134,210.25/694,341
  6. Step 6: Final answer
    x = 1,686,438.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.