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Finding the Third Proportional to 524,432 and 1,144,096

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Solution

The third proportional to 524,432 and 1,144,096 is: 2,495,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,432 : 1,144,096 = 1,144,096 : x
  2. Step 2: Convert to fraction form
    524,432/1,144,096 = 1,144,096/x
  3. Step 3: Cross multiply
    524,432x = 1,144,096 × 1,144,096
  4. Step 4: Simplify right side
    524,432x = 1,308,955,657,216
  5. Step 5: Solve for x
    x = 1,308,955,657,216/524,432
  6. Step 6: Final answer
    x = 2,495,949.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.