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Finding the Third Proportional to 463,407,984 and 699,421,493

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Solution

The third proportional to 463,407,984 and 699,421,493 is: 1,055,636,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,407,984 : 699,421,493 = 699,421,493 : x
  2. Step 2: Convert to fraction form
    463,407,984/699,421,493 = 699,421,493/x
  3. Step 3: Cross multiply
    463,407,984x = 699,421,493 × 699,421,493
  4. Step 4: Simplify right side
    463,407,984x = 489,190,424,870,349,056
  5. Step 5: Solve for x
    x = 489,190,424,870,349,056/463,407,984
  6. Step 6: Final answer
    x = 1,055,636,591.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.