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Finding the Third Proportional to 997,820 and 1,536,099

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Solution

The third proportional to 997,820 and 1,536,099 is: 2,364,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,820 : 1,536,099 = 1,536,099 : x
  2. Step 2: Convert to fraction form
    997,820/1,536,099 = 1,536,099/x
  3. Step 3: Cross multiply
    997,820x = 1,536,099 × 1,536,099
  4. Step 4: Simplify right side
    997,820x = 2,359,600,137,801
  5. Step 5: Solve for x
    x = 2,359,600,137,801/997,820
  6. Step 6: Final answer
    x = 2,364,755.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.