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Finding the Third Proportional to 489,339 and 1,074,906

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Solution

The third proportional to 489,339 and 1,074,906 is: 2,361,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,339 : 1,074,906 = 1,074,906 : x
  2. Step 2: Convert to fraction form
    489,339/1,074,906 = 1,074,906/x
  3. Step 3: Cross multiply
    489,339x = 1,074,906 × 1,074,906
  4. Step 4: Simplify right side
    489,339x = 1,155,422,908,836
  5. Step 5: Solve for x
    x = 1,155,422,908,836/489,339
  6. Step 6: Final answer
    x = 2,361,191.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.