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Finding the Third Proportional to 489,971.53 and 1,055,037.66

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Solution

The third proportional to 489,971.53 and 1,055,037.66 is: 2,271,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,971.53 : 1,055,037.66 = 1,055,037.66 : x
  2. Step 2: Convert to fraction form
    489,971.53/1,055,037.66 = 1,055,037.66/x
  3. Step 3: Cross multiply
    489,971.53x = 1,055,037.66 × 1,055,037.66
  4. Step 4: Simplify right side
    489,971.53x = 1,113,104,456,105.49
  5. Step 5: Solve for x
    x = 1,113,104,456,105.49/489,971.53
  6. Step 6: Final answer
    x = 2,271,773.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.