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Finding the Third Proportional to 529,340 and 1,153,846

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Solution

The third proportional to 529,340 and 1,153,846 is: 2,515,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,340 : 1,153,846 = 1,153,846 : x
  2. Step 2: Convert to fraction form
    529,340/1,153,846 = 1,153,846/x
  3. Step 3: Cross multiply
    529,340x = 1,153,846 × 1,153,846
  4. Step 4: Simplify right side
    529,340x = 1,331,360,591,716
  5. Step 5: Solve for x
    x = 1,331,360,591,716/529,340
  6. Step 6: Final answer
    x = 2,515,133.17

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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.