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Finding the Third Proportional to 968,633.44 and 2,114,300.81

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Solution

The third proportional to 968,633.44 and 2,114,300.81 is: 4,615,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,633.44 : 2,114,300.81 = 2,114,300.81 : x
  2. Step 2: Convert to fraction form
    968,633.44/2,114,300.81 = 2,114,300.81/x
  3. Step 3: Cross multiply
    968,633.44x = 2,114,300.81 × 2,114,300.81
  4. Step 4: Simplify right side
    968,633.44x = 4,470,267,925,738.16
  5. Step 5: Solve for x
    x = 4,470,267,925,738.16/968,633.44
  6. Step 6: Final answer
    x = 4,615,025.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.