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Finding the Third Proportional to 436,302,972 and 694,580,078

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Solution

The third proportional to 436,302,972 and 694,580,078 is: 1,105,748,793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,302,972 : 694,580,078 = 694,580,078 : x
  2. Step 2: Convert to fraction form
    436,302,972/694,580,078 = 694,580,078/x
  3. Step 3: Cross multiply
    436,302,972x = 694,580,078 × 694,580,078
  4. Step 4: Simplify right side
    436,302,972x = 482,441,484,754,486,080
  5. Step 5: Solve for x
    x = 482,441,484,754,486,080/436,302,972
  6. Step 6: Final answer
    x = 1,105,748,793.19

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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.