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Finding the Third Proportional to 4,194,840 and 6,631,946

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Solution

The third proportional to 4,194,840 and 6,631,946 is: 10,484,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,840 : 6,631,946 = 6,631,946 : x
  2. Step 2: Convert to fraction form
    4,194,840/6,631,946 = 6,631,946/x
  3. Step 3: Cross multiply
    4,194,840x = 6,631,946 × 6,631,946
  4. Step 4: Simplify right side
    4,194,840x = 43,982,707,746,916
  5. Step 5: Solve for x
    x = 43,982,707,746,916/4,194,840
  6. Step 6: Final answer
    x = 10,484,954.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.