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Finding the Third Proportional to 605,922 and 921,473.25

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Solution

The third proportional to 605,922 and 921,473.25 is: 1,401,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,922 : 921,473.25 = 921,473.25 : x
  2. Step 2: Convert to fraction form
    605,922/921,473.25 = 921,473.25/x
  3. Step 3: Cross multiply
    605,922x = 921,473.25 × 921,473.25
  4. Step 4: Simplify right side
    605,922x = 849,112,950,465.56
  5. Step 5: Solve for x
    x = 849,112,950,465.56/605,922
  6. Step 6: Final answer
    x = 1,401,356.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.