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Finding the Third Proportional to 497,313 and 1,062,477

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Solution

The third proportional to 497,313 and 1,062,477 is: 2,269,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,313 : 1,062,477 = 1,062,477 : x
  2. Step 2: Convert to fraction form
    497,313/1,062,477 = 1,062,477/x
  3. Step 3: Cross multiply
    497,313x = 1,062,477 × 1,062,477
  4. Step 4: Simplify right side
    497,313x = 1,128,857,375,529
  5. Step 5: Solve for x
    x = 1,128,857,375,529/497,313
  6. Step 6: Final answer
    x = 2,269,913.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.