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Finding the Third Proportional to 694,395,957 and 1,057,873,247

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Solution

The third proportional to 694,395,957 and 1,057,873,247 is: 1,611,610,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,395,957 : 1,057,873,247 = 1,057,873,247 : x
  2. Step 2: Convert to fraction form
    694,395,957/1,057,873,247 = 1,057,873,247/x
  3. Step 3: Cross multiply
    694,395,957x = 1,057,873,247 × 1,057,873,247
  4. Step 4: Simplify right side
    694,395,957x = 1,119,095,806,718,323,072
  5. Step 5: Solve for x
    x = 1,119,095,806,718,323,072/694,395,957
  6. Step 6: Final answer
    x = 1,611,610,487.41

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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.