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Finding the Third Proportional to 425,603 and 913,927

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Solution

The third proportional to 425,603 and 913,927 is: 1,962,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,603 : 913,927 = 913,927 : x
  2. Step 2: Convert to fraction form
    425,603/913,927 = 913,927/x
  3. Step 3: Cross multiply
    425,603x = 913,927 × 913,927
  4. Step 4: Simplify right side
    425,603x = 835,262,561,329
  5. Step 5: Solve for x
    x = 835,262,561,329/425,603
  6. Step 6: Final answer
    x = 1,962,539.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.