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Finding the Third Proportional to 460,182 and 984,334

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Solution

The third proportional to 460,182 and 984,334 is: 2,105,500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,182 : 984,334 = 984,334 : x
  2. Step 2: Convert to fraction form
    460,182/984,334 = 984,334/x
  3. Step 3: Cross multiply
    460,182x = 984,334 × 984,334
  4. Step 4: Simplify right side
    460,182x = 968,913,423,556
  5. Step 5: Solve for x
    x = 968,913,423,556/460,182
  6. Step 6: Final answer
    x = 2,105,500.48

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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.