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Finding the Third Proportional to 467,364 and 993,060

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Solution

The third proportional to 467,364 and 993,060 is: 2,110,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,364 : 993,060 = 993,060 : x
  2. Step 2: Convert to fraction form
    467,364/993,060 = 993,060/x
  3. Step 3: Cross multiply
    467,364x = 993,060 × 993,060
  4. Step 4: Simplify right side
    467,364x = 986,168,163,600
  5. Step 5: Solve for x
    x = 986,168,163,600/467,364
  6. Step 6: Final answer
    x = 2,110,064.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.