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Finding the Third Proportional to 592,634 and 941,442

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Solution

The third proportional to 592,634 and 941,442 is: 1,495,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,634 : 941,442 = 941,442 : x
  2. Step 2: Convert to fraction form
    592,634/941,442 = 941,442/x
  3. Step 3: Cross multiply
    592,634x = 941,442 × 941,442
  4. Step 4: Simplify right side
    592,634x = 886,313,039,364
  5. Step 5: Solve for x
    x = 886,313,039,364/592,634
  6. Step 6: Final answer
    x = 1,495,548.75

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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.