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Finding the Third Proportional to 898,745 and 1,264,144

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Solution

The third proportional to 898,745 and 1,264,144 is: 1,778,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,745 : 1,264,144 = 1,264,144 : x
  2. Step 2: Convert to fraction form
    898,745/1,264,144 = 1,264,144/x
  3. Step 3: Cross multiply
    898,745x = 1,264,144 × 1,264,144
  4. Step 4: Simplify right side
    898,745x = 1,598,060,052,736
  5. Step 5: Solve for x
    x = 1,598,060,052,736/898,745
  6. Step 6: Final answer
    x = 1,778,101.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.