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Finding the Third Proportional to 2,562,884 and 5,637,366

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Solution

The third proportional to 2,562,884 and 5,637,366 is: 12,400,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562,884 : 5,637,366 = 5,637,366 : x
  2. Step 2: Convert to fraction form
    2,562,884/5,637,366 = 5,637,366/x
  3. Step 3: Cross multiply
    2,562,884x = 5,637,366 × 5,637,366
  4. Step 4: Simplify right side
    2,562,884x = 31,779,895,417,956
  5. Step 5: Solve for x
    x = 31,779,895,417,956/2,562,884
  6. Step 6: Final answer
    x = 12,400,052.21

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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.