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Finding the Third Proportional to 434,579 and 941,513

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Solution

The third proportional to 434,579 and 941,513 is: 2,039,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,579 : 941,513 = 941,513 : x
  2. Step 2: Convert to fraction form
    434,579/941,513 = 941,513/x
  3. Step 3: Cross multiply
    434,579x = 941,513 × 941,513
  4. Step 4: Simplify right side
    434,579x = 886,446,729,169
  5. Step 5: Solve for x
    x = 886,446,729,169/434,579
  6. Step 6: Final answer
    x = 2,039,782.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.