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Finding the Third Proportional to 2,824,566 and 6,177,291

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Solution

The third proportional to 2,824,566 and 6,177,291 is: 13,509,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824,566 : 6,177,291 = 6,177,291 : x
  2. Step 2: Convert to fraction form
    2,824,566/6,177,291 = 6,177,291/x
  3. Step 3: Cross multiply
    2,824,566x = 6,177,291 × 6,177,291
  4. Step 4: Simplify right side
    2,824,566x = 38,158,924,098,681
  5. Step 5: Solve for x
    x = 38,158,924,098,681/2,824,566
  6. Step 6: Final answer
    x = 13,509,659.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.