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Finding the Third Proportional to 436,302,968 and 694,580,072

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Solution

The third proportional to 436,302,968 and 694,580,072 is: 1,105,748,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,302,968 : 694,580,072 = 694,580,072 : x
  2. Step 2: Convert to fraction form
    436,302,968/694,580,072 = 694,580,072/x
  3. Step 3: Cross multiply
    436,302,968x = 694,580,072 × 694,580,072
  4. Step 4: Simplify right side
    436,302,968x = 482,441,476,419,525,184
  5. Step 5: Solve for x
    x = 482,441,476,419,525,184/436,302,968
  6. Step 6: Final answer
    x = 1,105,748,784.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.