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Finding the Third Proportional to 4,178,796 and 6,301,728

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Solution

The third proportional to 4,178,796 and 6,301,728 is: 9,503,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178,796 : 6,301,728 = 6,301,728 : x
  2. Step 2: Convert to fraction form
    4,178,796/6,301,728 = 6,301,728/x
  3. Step 3: Cross multiply
    4,178,796x = 6,301,728 × 6,301,728
  4. Step 4: Simplify right side
    4,178,796x = 39,711,775,785,984
  5. Step 5: Solve for x
    x = 39,711,775,785,984/4,178,796
  6. Step 6: Final answer
    x = 9,503,162.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.