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Finding the Third Proportional to 589,127 and 934,356

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Solution

The third proportional to 589,127 and 934,356 is: 1,481,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,127 : 934,356 = 934,356 : x
  2. Step 2: Convert to fraction form
    589,127/934,356 = 934,356/x
  3. Step 3: Cross multiply
    589,127x = 934,356 × 934,356
  4. Step 4: Simplify right side
    589,127x = 873,021,134,736
  5. Step 5: Solve for x
    x = 873,021,134,736/589,127
  6. Step 6: Final answer
    x = 1,481,889.53

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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.