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Finding the Third Proportional to 493,624,752 and 722,266,422

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Solution

The third proportional to 493,624,752 and 722,266,422 is: 1,056,812,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,624,752 : 722,266,422 = 722,266,422 : x
  2. Step 2: Convert to fraction form
    493,624,752/722,266,422 = 722,266,422/x
  3. Step 3: Cross multiply
    493,624,752x = 722,266,422 × 722,266,422
  4. Step 4: Simplify right side
    493,624,752x = 521,668,784,348,682,112
  5. Step 5: Solve for x
    x = 521,668,784,348,682,112/493,624,752
  6. Step 6: Final answer
    x = 1,056,812,451.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.