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Finding the Third Proportional to 3,829,972 and 5,824,536

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Solution

The third proportional to 3,829,972 and 5,824,536 is: 8,857,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,972 : 5,824,536 = 5,824,536 : x
  2. Step 2: Convert to fraction form
    3,829,972/5,824,536 = 5,824,536/x
  3. Step 3: Cross multiply
    3,829,972x = 5,824,536 × 5,824,536
  4. Step 4: Simplify right side
    3,829,972x = 33,925,219,615,296
  5. Step 5: Solve for x
    x = 33,925,219,615,296/3,829,972
  6. Step 6: Final answer
    x = 8,857,824.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.