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Finding the Third Proportional to 1,991,214 and 4,369,500

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Solution

The third proportional to 1,991,214 and 4,369,500 is: 9,588,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,214 : 4,369,500 = 4,369,500 : x
  2. Step 2: Convert to fraction form
    1,991,214/4,369,500 = 4,369,500/x
  3. Step 3: Cross multiply
    1,991,214x = 4,369,500 × 4,369,500
  4. Step 4: Simplify right side
    1,991,214x = 19,092,530,250,000
  5. Step 5: Solve for x
    x = 19,092,530,250,000/1,991,214
  6. Step 6: Final answer
    x = 9,588,386.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.