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Finding the Third Proportional to 611,478 and 926,451

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Solution

The third proportional to 611,478 and 926,451 is: 1,403,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,478 : 926,451 = 926,451 : x
  2. Step 2: Convert to fraction form
    611,478/926,451 = 926,451/x
  3. Step 3: Cross multiply
    611,478x = 926,451 × 926,451
  4. Step 4: Simplify right side
    611,478x = 858,311,455,401
  5. Step 5: Solve for x
    x = 858,311,455,401/611,478
  6. Step 6: Final answer
    x = 1,403,666.94

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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.