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Finding the Third Proportional to 777,400,380 and 1,192,083,840

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Solution

The third proportional to 777,400,380 and 1,192,083,840 is: 1,827,969,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,400,380 : 1,192,083,840 = 1,192,083,840 : x
  2. Step 2: Convert to fraction form
    777,400,380/1,192,083,840 = 1,192,083,840/x
  3. Step 3: Cross multiply
    777,400,380x = 1,192,083,840 × 1,192,083,840
  4. Step 4: Simplify right side
    777,400,380x = 1,421,063,881,589,145,600
  5. Step 5: Solve for x
    x = 1,421,063,881,589,145,600/777,400,380
  6. Step 6: Final answer
    x = 1,827,969,111.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.