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Finding the Third Proportional to 2,562,984 and 5,637,564

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Solution

The third proportional to 2,562,984 and 5,637,564 is: 12,400,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562,984 : 5,637,564 = 5,637,564 : x
  2. Step 2: Convert to fraction form
    2,562,984/5,637,564 = 5,637,564/x
  3. Step 3: Cross multiply
    2,562,984x = 5,637,564 × 5,637,564
  4. Step 4: Simplify right side
    2,562,984x = 31,782,127,854,096
  5. Step 5: Solve for x
    x = 31,782,127,854,096/2,562,984
  6. Step 6: Final answer
    x = 12,400,439.43

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