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Finding the Third Proportional to 3,857,054 and 8,294,566

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Solution

The third proportional to 3,857,054 and 8,294,566 is: 17,837,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,054 : 8,294,566 = 8,294,566 : x
  2. Step 2: Convert to fraction form
    3,857,054/8,294,566 = 8,294,566/x
  3. Step 3: Cross multiply
    3,857,054x = 8,294,566 × 8,294,566
  4. Step 4: Simplify right side
    3,857,054x = 68,799,825,128,356
  5. Step 5: Solve for x
    x = 68,799,825,128,356/3,857,054
  6. Step 6: Final answer
    x = 17,837,402.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.