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Finding the Third Proportional to 489,194 and 1,062,202

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Solution

The third proportional to 489,194 and 1,062,202 is: 2,306,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,194 : 1,062,202 = 1,062,202 : x
  2. Step 2: Convert to fraction form
    489,194/1,062,202 = 1,062,202/x
  3. Step 3: Cross multiply
    489,194x = 1,062,202 × 1,062,202
  4. Step 4: Simplify right side
    489,194x = 1,128,273,088,804
  5. Step 5: Solve for x
    x = 1,128,273,088,804/489,194
  6. Step 6: Final answer
    x = 2,306,391.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.