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Finding the Third Proportional to 434,574 and 941,503

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Solution

The third proportional to 434,574 and 941,503 is: 2,039,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,574 : 941,503 = 941,503 : x
  2. Step 2: Convert to fraction form
    434,574/941,503 = 941,503/x
  3. Step 3: Cross multiply
    434,574x = 941,503 × 941,503
  4. Step 4: Simplify right side
    434,574x = 886,427,899,009
  5. Step 5: Solve for x
    x = 886,427,899,009/434,574
  6. Step 6: Final answer
    x = 2,039,762.85

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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.