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Finding the Third Proportional to 431,076 and 943,692

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Solution

The third proportional to 431,076 and 943,692 is: 2,065,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,076 : 943,692 = 943,692 : x
  2. Step 2: Convert to fraction form
    431,076/943,692 = 943,692/x
  3. Step 3: Cross multiply
    431,076x = 943,692 × 943,692
  4. Step 4: Simplify right side
    431,076x = 890,554,590,864
  5. Step 5: Solve for x
    x = 890,554,590,864/431,076
  6. Step 6: Final answer
    x = 2,065,887.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.