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Finding the Third Proportional to 997,742 and 1,521,524

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Solution

The third proportional to 997,742 and 1,521,524 is: 2,320,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,742 : 1,521,524 = 1,521,524 : x
  2. Step 2: Convert to fraction form
    997,742/1,521,524 = 1,521,524/x
  3. Step 3: Cross multiply
    997,742x = 1,521,524 × 1,521,524
  4. Step 4: Simplify right side
    997,742x = 2,315,035,282,576
  5. Step 5: Solve for x
    x = 2,315,035,282,576/997,742
  6. Step 6: Final answer
    x = 2,320,274.46

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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.