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Finding the Third Proportional to 460,656 and 996,768

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Solution

The third proportional to 460,656 and 996,768 is: 2,156,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,656 : 996,768 = 996,768 : x
  2. Step 2: Convert to fraction form
    460,656/996,768 = 996,768/x
  3. Step 3: Cross multiply
    460,656x = 996,768 × 996,768
  4. Step 4: Simplify right side
    460,656x = 993,546,445,824
  5. Step 5: Solve for x
    x = 993,546,445,824/460,656
  6. Step 6: Final answer
    x = 2,156,807.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.