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Finding the Third Proportional to 579,836 and 922,459

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Solution

The third proportional to 579,836 and 922,459 is: 1,467,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,836 : 922,459 = 922,459 : x
  2. Step 2: Convert to fraction form
    579,836/922,459 = 922,459/x
  3. Step 3: Cross multiply
    579,836x = 922,459 × 922,459
  4. Step 4: Simplify right side
    579,836x = 850,930,606,681
  5. Step 5: Solve for x
    x = 850,930,606,681/579,836
  6. Step 6: Final answer
    x = 1,467,536.69

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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.