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Finding the Third Proportional to 3,829,184 and 8,076,656

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Solution

The third proportional to 3,829,184 and 8,076,656 is: 17,035,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,184 : 8,076,656 = 8,076,656 : x
  2. Step 2: Convert to fraction form
    3,829,184/8,076,656 = 8,076,656/x
  3. Step 3: Cross multiply
    3,829,184x = 8,076,656 × 8,076,656
  4. Step 4: Simplify right side
    3,829,184x = 65,232,372,142,336
  5. Step 5: Solve for x
    x = 65,232,372,142,336/3,829,184
  6. Step 6: Final answer
    x = 17,035,580.46

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.