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Finding the Third Proportional to 460,220.06 and 984,404.81

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Solution

The third proportional to 460,220.06 and 984,404.81 is: 2,105,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,220.06 : 984,404.81 = 984,404.81 : x
  2. Step 2: Convert to fraction form
    460,220.06/984,404.81 = 984,404.81/x
  3. Step 3: Cross multiply
    460,220.06x = 984,404.81 × 984,404.81
  4. Step 4: Simplify right side
    460,220.06x = 969,052,834,873.16
  5. Step 5: Solve for x
    x = 969,052,834,873.16/460,220.06
  6. Step 6: Final answer
    x = 2,105,629.27

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1.5x scale

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.