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Finding the Third Proportional to 467,931 and 958,040

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Solution

The third proportional to 467,931 and 958,040 is: 1,961,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,931 : 958,040 = 958,040 : x
  2. Step 2: Convert to fraction form
    467,931/958,040 = 958,040/x
  3. Step 3: Cross multiply
    467,931x = 958,040 × 958,040
  4. Step 4: Simplify right side
    467,931x = 917,840,641,600
  5. Step 5: Solve for x
    x = 917,840,641,600/467,931
  6. Step 6: Final answer
    x = 1,961,487.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.