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Finding the Third Proportional to 460,293 and 984,558

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Solution

The third proportional to 460,293 and 984,558 is: 2,105,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,293 : 984,558 = 984,558 : x
  2. Step 2: Convert to fraction form
    460,293/984,558 = 984,558/x
  3. Step 3: Cross multiply
    460,293x = 984,558 × 984,558
  4. Step 4: Simplify right side
    460,293x = 969,354,455,364
  5. Step 5: Solve for x
    x = 969,354,455,364/460,293
  6. Step 6: Final answer
    x = 2,105,950.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.