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Finding the Third Proportional to 997,264 and 2,193,968

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Solution

The third proportional to 997,264 and 2,193,968 is: 4,826,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,264 : 2,193,968 = 2,193,968 : x
  2. Step 2: Convert to fraction form
    997,264/2,193,968 = 2,193,968/x
  3. Step 3: Cross multiply
    997,264x = 2,193,968 × 2,193,968
  4. Step 4: Simplify right side
    997,264x = 4,813,495,585,024
  5. Step 5: Solve for x
    x = 4,813,495,585,024/997,264
  6. Step 6: Final answer
    x = 4,826,701.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.