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Finding the Third Proportional to 656,843 and 1,411,914

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Solution

The third proportional to 656,843 and 1,411,914 is: 3,034,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,843 : 1,411,914 = 1,411,914 : x
  2. Step 2: Convert to fraction form
    656,843/1,411,914 = 1,411,914/x
  3. Step 3: Cross multiply
    656,843x = 1,411,914 × 1,411,914
  4. Step 4: Simplify right side
    656,843x = 1,993,501,143,396
  5. Step 5: Solve for x
    x = 1,993,501,143,396/656,843
  6. Step 6: Final answer
    x = 3,034,973.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.