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Finding the Third Proportional to 409,200,881 and 876,623,842

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Solution

The third proportional to 409,200,881 and 876,623,842 is: 1,877,975,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,200,881 : 876,623,842 = 876,623,842 : x
  2. Step 2: Convert to fraction form
    409,200,881/876,623,842 = 876,623,842/x
  3. Step 3: Cross multiply
    409,200,881x = 876,623,842 × 876,623,842
  4. Step 4: Simplify right side
    409,200,881x = 768,469,360,362,840,960
  5. Step 5: Solve for x
    x = 768,469,360,362,840,960/409,200,881
  6. Step 6: Final answer
    x = 1,877,975,820.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.