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Finding the Third Proportional to 557,954 and 1,210,372

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Solution

The third proportional to 557,954 and 1,210,372 is: 2,625,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,954 : 1,210,372 = 1,210,372 : x
  2. Step 2: Convert to fraction form
    557,954/1,210,372 = 1,210,372/x
  3. Step 3: Cross multiply
    557,954x = 1,210,372 × 1,210,372
  4. Step 4: Simplify right side
    557,954x = 1,465,000,378,384
  5. Step 5: Solve for x
    x = 1,465,000,378,384/557,954
  6. Step 6: Final answer
    x = 2,625,665.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.