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Finding the Third Proportional to 600,765,048 and 1,247,573,502

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Solution

The third proportional to 600,765,048 and 1,247,573,502 is: 2,590,762,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,765,048 : 1,247,573,502 = 1,247,573,502 : x
  2. Step 2: Convert to fraction form
    600,765,048/1,247,573,502 = 1,247,573,502/x
  3. Step 3: Cross multiply
    600,765,048x = 1,247,573,502 × 1,247,573,502
  4. Step 4: Simplify right side
    600,765,048x = 1,556,439,642,892,544,000
  5. Step 5: Solve for x
    x = 1,556,439,642,892,544,000/600,765,048
  6. Step 6: Final answer
    x = 2,590,762,641.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.