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Finding the Third Proportional to 898,390 and 1,314,144

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Solution

The third proportional to 898,390 and 1,314,144 is: 1,922,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,390 : 1,314,144 = 1,314,144 : x
  2. Step 2: Convert to fraction form
    898,390/1,314,144 = 1,314,144/x
  3. Step 3: Cross multiply
    898,390x = 1,314,144 × 1,314,144
  4. Step 4: Simplify right side
    898,390x = 1,726,974,452,736
  5. Step 5: Solve for x
    x = 1,726,974,452,736/898,390
  6. Step 6: Final answer
    x = 1,922,299.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.