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Finding the Third Proportional to 2,609,826 and 5,749,428

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Solution

The third proportional to 2,609,826 and 5,749,428 is: 12,665,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609,826 : 5,749,428 = 5,749,428 : x
  2. Step 2: Convert to fraction form
    2,609,826/5,749,428 = 5,749,428/x
  3. Step 3: Cross multiply
    2,609,826x = 5,749,428 × 5,749,428
  4. Step 4: Simplify right side
    2,609,826x = 33,055,922,327,184
  5. Step 5: Solve for x
    x = 33,055,922,327,184/2,609,826
  6. Step 6: Final answer
    x = 12,665,948.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.