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Finding the Third Proportional to 4,067,394 and 6,142,776

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Solution

The third proportional to 4,067,394 and 6,142,776 is: 9,277,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067,394 : 6,142,776 = 6,142,776 : x
  2. Step 2: Convert to fraction form
    4,067,394/6,142,776 = 6,142,776/x
  3. Step 3: Cross multiply
    4,067,394x = 6,142,776 × 6,142,776
  4. Step 4: Simplify right side
    4,067,394x = 37,733,696,986,176
  5. Step 5: Solve for x
    x = 37,733,696,986,176/4,067,394
  6. Step 6: Final answer
    x = 9,277,118.71

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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.