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Finding the Third Proportional to 968,258 and 1,493,219

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Solution

The third proportional to 968,258 and 1,493,219 is: 2,302,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,258 : 1,493,219 = 1,493,219 : x
  2. Step 2: Convert to fraction form
    968,258/1,493,219 = 1,493,219/x
  3. Step 3: Cross multiply
    968,258x = 1,493,219 × 1,493,219
  4. Step 4: Simplify right side
    968,258x = 2,229,702,981,961
  5. Step 5: Solve for x
    x = 2,229,702,981,961/968,258
  6. Step 6: Final answer
    x = 2,302,798.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.