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Finding the Third Proportional to 3,634,770 and 5,702,383

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Solution

The third proportional to 3,634,770 and 5,702,383 is: 8,946,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,770 : 5,702,383 = 5,702,383 : x
  2. Step 2: Convert to fraction form
    3,634,770/5,702,383 = 5,702,383/x
  3. Step 3: Cross multiply
    3,634,770x = 5,702,383 × 5,702,383
  4. Step 4: Simplify right side
    3,634,770x = 32,517,171,878,689
  5. Step 5: Solve for x
    x = 32,517,171,878,689/3,634,770
  6. Step 6: Final answer
    x = 8,946,142.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.