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Finding the Third Proportional to 466,080 and 993,168

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Solution

The third proportional to 466,080 and 993,168 is: 2,116,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,080 : 993,168 = 993,168 : x
  2. Step 2: Convert to fraction form
    466,080/993,168 = 993,168/x
  3. Step 3: Cross multiply
    466,080x = 993,168 × 993,168
  4. Step 4: Simplify right side
    466,080x = 986,382,676,224
  5. Step 5: Solve for x
    x = 986,382,676,224/466,080
  6. Step 6: Final answer
    x = 2,116,337.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.