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Finding the Third Proportional to 1,678,400 and 2,531,534

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Solution

The third proportional to 1,678,400 and 2,531,534 is: 3,818,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,400 : 2,531,534 = 2,531,534 : x
  2. Step 2: Convert to fraction form
    1,678,400/2,531,534 = 2,531,534/x
  3. Step 3: Cross multiply
    1,678,400x = 2,531,534 × 2,531,534
  4. Step 4: Simplify right side
    1,678,400x = 6,408,664,393,156
  5. Step 5: Solve for x
    x = 6,408,664,393,156/1,678,400
  6. Step 6: Final answer
    x = 3,818,317.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.