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Finding the Third Proportional to 1,588,016 and 3,406,559

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Solution

The third proportional to 1,588,016 and 3,406,559 is: 7,307,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,016 : 3,406,559 = 3,406,559 : x
  2. Step 2: Convert to fraction form
    1,588,016/3,406,559 = 3,406,559/x
  3. Step 3: Cross multiply
    1,588,016x = 3,406,559 × 3,406,559
  4. Step 4: Simplify right side
    1,588,016x = 11,604,644,220,481
  5. Step 5: Solve for x
    x = 11,604,644,220,481/1,588,016
  6. Step 6: Final answer
    x = 7,307,636.84

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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.