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Finding the Third Proportional to 1,613,602.69 and 3,520,605.94

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Solution

The third proportional to 1,613,602.69 and 3,520,605.94 is: 7,681,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613,602.69 : 3,520,605.94 = 3,520,605.94 : x
  2. Step 2: Convert to fraction form
    1,613,602.69/3,520,605.94 = 3,520,605.94/x
  3. Step 3: Cross multiply
    1,613,602.69x = 3,520,605.94 × 3,520,605.94
  4. Step 4: Simplify right side
    1,613,602.69x = 12,394,666,167,160.25
  5. Step 5: Solve for x
    x = 12,394,666,167,160.25/1,613,602.69
  6. Step 6: Final answer
    x = 7,681,361.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.