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Finding the Third Proportional to 714,083,712 and 1,081,903,836

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Solution

The third proportional to 714,083,712 and 1,081,903,836 is: 1,639,185,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,083,712 : 1,081,903,836 = 1,081,903,836 : x
  2. Step 2: Convert to fraction form
    714,083,712/1,081,903,836 = 1,081,903,836/x
  3. Step 3: Cross multiply
    714,083,712x = 1,081,903,836 × 1,081,903,836
  4. Step 4: Simplify right side
    714,083,712x = 1,170,515,910,351,514,880
  5. Step 5: Solve for x
    x = 1,170,515,910,351,514,880/714,083,712
  6. Step 6: Final answer
    x = 1,639,185,841.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.