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Finding the Third Proportional to 3,651,998 and 5,677,341

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Solution

The third proportional to 3,651,998 and 5,677,341 is: 8,825,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651,998 : 5,677,341 = 5,677,341 : x
  2. Step 2: Convert to fraction form
    3,651,998/5,677,341 = 5,677,341/x
  3. Step 3: Cross multiply
    3,651,998x = 5,677,341 × 5,677,341
  4. Step 4: Simplify right side
    3,651,998x = 32,232,200,830,281
  5. Step 5: Solve for x
    x = 32,232,200,830,281/3,651,998
  6. Step 6: Final answer
    x = 8,825,908.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.