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Finding the Third Proportional to 653,838 and 984,525

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Solution

The third proportional to 653,838 and 984,525 is: 1,482,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,838 : 984,525 = 984,525 : x
  2. Step 2: Convert to fraction form
    653,838/984,525 = 984,525/x
  3. Step 3: Cross multiply
    653,838x = 984,525 × 984,525
  4. Step 4: Simplify right side
    653,838x = 969,289,475,625
  5. Step 5: Solve for x
    x = 969,289,475,625/653,838
  6. Step 6: Final answer
    x = 1,482,461.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.