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Finding the Third Proportional to 656,841 and 1,411,910

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Solution

The third proportional to 656,841 and 1,411,910 is: 3,034,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,841 : 1,411,910 = 1,411,910 : x
  2. Step 2: Convert to fraction form
    656,841/1,411,910 = 1,411,910/x
  3. Step 3: Cross multiply
    656,841x = 1,411,910 × 1,411,910
  4. Step 4: Simplify right side
    656,841x = 1,993,489,848,100
  5. Step 5: Solve for x
    x = 1,993,489,848,100/656,841
  6. Step 6: Final answer
    x = 3,034,965.61

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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.