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Finding the Third Proportional to 551,638,912 and 822,674,662

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Solution

The third proportional to 551,638,912 and 822,674,662 is: 1,226,877,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,638,912 : 822,674,662 = 822,674,662 : x
  2. Step 2: Convert to fraction form
    551,638,912/822,674,662 = 822,674,662/x
  3. Step 3: Cross multiply
    551,638,912x = 822,674,662 × 822,674,662
  4. Step 4: Simplify right side
    551,638,912x = 676,793,599,496,814,208
  5. Step 5: Solve for x
    x = 676,793,599,496,814,208/551,638,912
  6. Step 6: Final answer
    x = 1,226,877,917.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.