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Finding the Third Proportional to 605,919.66 and 921,468.66

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Solution

The third proportional to 605,919.66 and 921,468.66 is: 1,401,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,919.66 : 921,468.66 = 921,468.66 : x
  2. Step 2: Convert to fraction form
    605,919.66/921,468.66 = 921,468.66/x
  3. Step 3: Cross multiply
    605,919.66x = 921,468.66 × 921,468.66
  4. Step 4: Simplify right side
    605,919.66x = 849,104,484,451.18
  5. Step 5: Solve for x
    x = 849,104,484,451.18/605,919.66
  6. Step 6: Final answer
    x = 1,401,348.31

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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.