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Finding the Third Proportional to 1,684,740 and 3,977,098

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Solution

The third proportional to 1,684,740 and 3,977,098 is: 9,388,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,740 : 3,977,098 = 3,977,098 : x
  2. Step 2: Convert to fraction form
    1,684,740/3,977,098 = 3,977,098/x
  3. Step 3: Cross multiply
    1,684,740x = 3,977,098 × 3,977,098
  4. Step 4: Simplify right side
    1,684,740x = 15,817,308,501,604
  5. Step 5: Solve for x
    x = 15,817,308,501,604/1,684,740
  6. Step 6: Final answer
    x = 9,388,575.39

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.