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Finding the Third Proportional to 489,050 and 1,071,412

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Solution

The third proportional to 489,050 and 1,071,412 is: 2,347,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,050 : 1,071,412 = 1,071,412 : x
  2. Step 2: Convert to fraction form
    489,050/1,071,412 = 1,071,412/x
  3. Step 3: Cross multiply
    489,050x = 1,071,412 × 1,071,412
  4. Step 4: Simplify right side
    489,050x = 1,147,923,673,744
  5. Step 5: Solve for x
    x = 1,147,923,673,744/489,050
  6. Step 6: Final answer
    x = 2,347,252.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.