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Finding the Third Proportional to 4,042,656 and 6,057,747

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Solution

The third proportional to 4,042,656 and 6,057,747 is: 9,077,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042,656 : 6,057,747 = 6,057,747 : x
  2. Step 2: Convert to fraction form
    4,042,656/6,057,747 = 6,057,747/x
  3. Step 3: Cross multiply
    4,042,656x = 6,057,747 × 6,057,747
  4. Step 4: Simplify right side
    4,042,656x = 36,696,298,716,009
  5. Step 5: Solve for x
    x = 36,696,298,716,009/4,042,656
  6. Step 6: Final answer
    x = 9,077,274.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.