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Finding the Third Proportional to 489,090 and 1,043,181

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Solution

The third proportional to 489,090 and 1,043,181 is: 2,225,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,090 : 1,043,181 = 1,043,181 : x
  2. Step 2: Convert to fraction form
    489,090/1,043,181 = 1,043,181/x
  3. Step 3: Cross multiply
    489,090x = 1,043,181 × 1,043,181
  4. Step 4: Simplify right side
    489,090x = 1,088,226,598,761
  5. Step 5: Solve for x
    x = 1,088,226,598,761/489,090
  6. Step 6: Final answer
    x = 2,225,002.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.