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Finding the Third Proportional to 4,206,608 and 6,302,784

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Solution

The third proportional to 4,206,608 and 6,302,784 is: 9,443,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,608 : 6,302,784 = 6,302,784 : x
  2. Step 2: Convert to fraction form
    4,206,608/6,302,784 = 6,302,784/x
  3. Step 3: Cross multiply
    4,206,608x = 6,302,784 × 6,302,784
  4. Step 4: Simplify right side
    4,206,608x = 39,725,086,150,656
  5. Step 5: Solve for x
    x = 39,725,086,150,656/4,206,608
  6. Step 6: Final answer
    x = 9,443,496.08

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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.