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Finding the Third Proportional to 984,774 and 2,120,208

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Solution

The third proportional to 984,774 and 2,120,208 is: 4,564,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,774 : 2,120,208 = 2,120,208 : x
  2. Step 2: Convert to fraction form
    984,774/2,120,208 = 2,120,208/x
  3. Step 3: Cross multiply
    984,774x = 2,120,208 × 2,120,208
  4. Step 4: Simplify right side
    984,774x = 4,495,281,963,264
  5. Step 5: Solve for x
    x = 4,495,281,963,264/984,774
  6. Step 6: Final answer
    x = 4,564,785.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.