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Finding the Third Proportional to 4,413,897 and 6,749,150

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Solution

The third proportional to 4,413,897 and 6,749,150 is: 10,319,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413,897 : 6,749,150 = 6,749,150 : x
  2. Step 2: Convert to fraction form
    4,413,897/6,749,150 = 6,749,150/x
  3. Step 3: Cross multiply
    4,413,897x = 6,749,150 × 6,749,150
  4. Step 4: Simplify right side
    4,413,897x = 45,551,025,722,500
  5. Step 5: Solve for x
    x = 45,551,025,722,500/4,413,897
  6. Step 6: Final answer
    x = 10,319,911.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.