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Finding the Third Proportional to 579,467 and 922,049

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Solution

The third proportional to 579,467 and 922,049 is: 1,467,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,467 : 922,049 = 922,049 : x
  2. Step 2: Convert to fraction form
    579,467/922,049 = 922,049/x
  3. Step 3: Cross multiply
    579,467x = 922,049 × 922,049
  4. Step 4: Simplify right side
    579,467x = 850,174,358,401
  5. Step 5: Solve for x
    x = 850,174,358,401/579,467
  6. Step 6: Final answer
    x = 1,467,166.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.