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Finding the Third Proportional to 4,146,696 and 6,396,748

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Solution

The third proportional to 4,146,696 and 6,396,748 is: 9,867,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,696 : 6,396,748 = 6,396,748 : x
  2. Step 2: Convert to fraction form
    4,146,696/6,396,748 = 6,396,748/x
  3. Step 3: Cross multiply
    4,146,696x = 6,396,748 × 6,396,748
  4. Step 4: Simplify right side
    4,146,696x = 40,918,384,975,504
  5. Step 5: Solve for x
    x = 40,918,384,975,504/4,146,696
  6. Step 6: Final answer
    x = 9,867,707.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.