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Finding the Third Proportional to 552,884 and 1,161,460

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Solution

The third proportional to 552,884 and 1,161,460 is: 2,439,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,884 : 1,161,460 = 1,161,460 : x
  2. Step 2: Convert to fraction form
    552,884/1,161,460 = 1,161,460/x
  3. Step 3: Cross multiply
    552,884x = 1,161,460 × 1,161,460
  4. Step 4: Simplify right side
    552,884x = 1,348,989,331,600
  5. Step 5: Solve for x
    x = 1,348,989,331,600/552,884
  6. Step 6: Final answer
    x = 2,439,913.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.