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Finding the Third Proportional to 442,764 and 958,914

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Solution

The third proportional to 442,764 and 958,914 is: 2,076,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,764 : 958,914 = 958,914 : x
  2. Step 2: Convert to fraction form
    442,764/958,914 = 958,914/x
  3. Step 3: Cross multiply
    442,764x = 958,914 × 958,914
  4. Step 4: Simplify right side
    442,764x = 919,516,059,396
  5. Step 5: Solve for x
    x = 919,516,059,396/442,764
  6. Step 6: Final answer
    x = 2,076,763.38

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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.