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Finding the Third Proportional to 797,761,280 and 1,192,245,024

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Solution

The third proportional to 797,761,280 and 1,192,245,024 is: 1,781,796,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,761,280 : 1,192,245,024 = 1,192,245,024 : x
  2. Step 2: Convert to fraction form
    797,761,280/1,192,245,024 = 1,192,245,024/x
  3. Step 3: Cross multiply
    797,761,280x = 1,192,245,024 × 1,192,245,024
  4. Step 4: Simplify right side
    797,761,280x = 1,421,448,197,252,760,576
  5. Step 5: Solve for x
    x = 1,421,448,197,252,760,576/797,761,280
  6. Step 6: Final answer
    x = 1,781,796,425.68

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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.