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Finding the Third Proportional to 579,471 and 922,056

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Solution

The third proportional to 579,471 and 922,056 is: 1,467,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,471 : 922,056 = 922,056 : x
  2. Step 2: Convert to fraction form
    579,471/922,056 = 922,056/x
  3. Step 3: Cross multiply
    579,471x = 922,056 × 922,056
  4. Step 4: Simplify right side
    579,471x = 850,187,267,136
  5. Step 5: Solve for x
    x = 850,187,267,136/579,471
  6. Step 6: Final answer
    x = 1,467,178.28

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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.