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Finding the Third Proportional to 493,625,152 and 722,266,920

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Solution

The third proportional to 493,625,152 and 722,266,920 is: 1,056,813,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,625,152 : 722,266,920 = 722,266,920 : x
  2. Step 2: Convert to fraction form
    493,625,152/722,266,920 = 722,266,920/x
  3. Step 3: Cross multiply
    493,625,152x = 722,266,920 × 722,266,920
  4. Step 4: Simplify right side
    493,625,152x = 521,669,503,726,286,400
  5. Step 5: Solve for x
    x = 521,669,503,726,286,400/493,625,152
  6. Step 6: Final answer
    x = 1,056,813,052.60

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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.