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Finding the Third Proportional to 629,122,374 and 943,683,642

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Solution

The third proportional to 629,122,374 and 943,683,642 is: 1,415,525,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,122,374 : 943,683,642 = 943,683,642 : x
  2. Step 2: Convert to fraction form
    629,122,374/943,683,642 = 943,683,642/x
  3. Step 3: Cross multiply
    629,122,374x = 943,683,642 × 943,683,642
  4. Step 4: Simplify right side
    629,122,374x = 890,538,816,178,384,128
  5. Step 5: Solve for x
    x = 890,538,816,178,384,128/629,122,374
  6. Step 6: Final answer
    x = 1,415,525,584.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.