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Finding the Third Proportional to 2,573,820 and 5,489,631

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Solution

The third proportional to 2,573,820 and 5,489,631 is: 11,708,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573,820 : 5,489,631 = 5,489,631 : x
  2. Step 2: Convert to fraction form
    2,573,820/5,489,631 = 5,489,631/x
  3. Step 3: Cross multiply
    2,573,820x = 5,489,631 × 5,489,631
  4. Step 4: Simplify right side
    2,573,820x = 30,136,048,516,161
  5. Step 5: Solve for x
    x = 30,136,048,516,161/2,573,820
  6. Step 6: Final answer
    x = 11,708,685.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.