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Finding the Third Proportional to 777,400,396 and 1,192,083,864

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Solution

The third proportional to 777,400,396 and 1,192,083,864 is: 1,827,969,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,400,396 : 1,192,083,864 = 1,192,083,864 : x
  2. Step 2: Convert to fraction form
    777,400,396/1,192,083,864 = 1,192,083,864/x
  3. Step 3: Cross multiply
    777,400,396x = 1,192,083,864 × 1,192,083,864
  4. Step 4: Simplify right side
    777,400,396x = 1,421,063,938,809,170,432
  5. Step 5: Solve for x
    x = 1,421,063,938,809,170,432/777,400,396
  6. Step 6: Final answer
    x = 1,827,969,147.07

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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.