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Finding the Third Proportional to 589,118 and 934,342

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Solution

The third proportional to 589,118 and 934,342 is: 1,481,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,118 : 934,342 = 934,342 : x
  2. Step 2: Convert to fraction form
    589,118/934,342 = 934,342/x
  3. Step 3: Cross multiply
    589,118x = 934,342 × 934,342
  4. Step 4: Simplify right side
    589,118x = 872,994,972,964
  5. Step 5: Solve for x
    x = 872,994,972,964/589,118
  6. Step 6: Final answer
    x = 1,481,867.76

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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.