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Finding the Third Proportional to 694,740 and 1,055,596.50

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Solution

The third proportional to 694,740 and 1,055,596.50 is: 1,603,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,740 : 1,055,596.50 = 1,055,596.50 : x
  2. Step 2: Convert to fraction form
    694,740/1,055,596.50 = 1,055,596.50/x
  3. Step 3: Cross multiply
    694,740x = 1,055,596.50 × 1,055,596.50
  4. Step 4: Simplify right side
    694,740x = 1,114,283,970,812.25
  5. Step 5: Solve for x
    x = 1,114,283,970,812.25/694,740
  6. Step 6: Final answer
    x = 1,603,886.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.