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Finding the Third Proportional to 460,276 and 984,523

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Solution

The third proportional to 460,276 and 984,523 is: 2,105,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,276 : 984,523 = 984,523 : x
  2. Step 2: Convert to fraction form
    460,276/984,523 = 984,523/x
  3. Step 3: Cross multiply
    460,276x = 984,523 × 984,523
  4. Step 4: Simplify right side
    460,276x = 969,285,537,529
  5. Step 5: Solve for x
    x = 969,285,537,529/460,276
  6. Step 6: Final answer
    x = 2,105,878.95

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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.