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Finding the Third Proportional to 2,594,989 and 5,573,567

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Solution

The third proportional to 2,594,989 and 5,573,567 is: 11,971,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,989 : 5,573,567 = 5,573,567 : x
  2. Step 2: Convert to fraction form
    2,594,989/5,573,567 = 5,573,567/x
  3. Step 3: Cross multiply
    2,594,989x = 5,573,567 × 5,573,567
  4. Step 4: Simplify right side
    2,594,989x = 31,064,649,103,489
  5. Step 5: Solve for x
    x = 31,064,649,103,489/2,594,989
  6. Step 6: Final answer
    x = 11,971,013.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.