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Finding the Third Proportional to 497,559 and 1,072,878

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Solution

The third proportional to 497,559 and 1,072,878 is: 2,313,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,559 : 1,072,878 = 1,072,878 : x
  2. Step 2: Convert to fraction form
    497,559/1,072,878 = 1,072,878/x
  3. Step 3: Cross multiply
    497,559x = 1,072,878 × 1,072,878
  4. Step 4: Simplify right side
    497,559x = 1,151,067,202,884
  5. Step 5: Solve for x
    x = 1,151,067,202,884/497,559
  6. Step 6: Final answer
    x = 2,313,428.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.