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Finding the Third Proportional to 997,740 and 1,521,520.50

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Solution

The third proportional to 997,740 and 1,521,520.50 is: 2,320,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,740 : 1,521,520.50 = 1,521,520.50 : x
  2. Step 2: Convert to fraction form
    997,740/1,521,520.50 = 1,521,520.50/x
  3. Step 3: Cross multiply
    997,740x = 1,521,520.50 × 1,521,520.50
  4. Step 4: Simplify right side
    997,740x = 2,315,024,631,920.25
  5. Step 5: Solve for x
    x = 2,315,024,631,920.25/997,740
  6. Step 6: Final answer
    x = 2,320,268.44

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