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Finding the Third Proportional to 294,548,436 and 640,811,424

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Solution

The third proportional to 294,548,436 and 640,811,424 is: 1,394,131,595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,548,436 : 640,811,424 = 640,811,424 : x
  2. Step 2: Convert to fraction form
    294,548,436/640,811,424 = 640,811,424/x
  3. Step 3: Cross multiply
    294,548,436x = 640,811,424 × 640,811,424
  4. Step 4: Simplify right side
    294,548,436x = 410,639,281,128,907,776
  5. Step 5: Solve for x
    x = 410,639,281,128,907,776/294,548,436
  6. Step 6: Final answer
    x = 1,394,131,595.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.