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Finding the Third Proportional to 2,051,590 and 4,749,462

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Solution

The third proportional to 2,051,590 and 4,749,462 is: 10,995,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,590 : 4,749,462 = 4,749,462 : x
  2. Step 2: Convert to fraction form
    2,051,590/4,749,462 = 4,749,462/x
  3. Step 3: Cross multiply
    2,051,590x = 4,749,462 × 4,749,462
  4. Step 4: Simplify right side
    2,051,590x = 22,557,389,289,444
  5. Step 5: Solve for x
    x = 22,557,389,289,444/2,051,590
  6. Step 6: Final answer
    x = 10,995,076.64

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.