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Finding the Third Proportional to 694,395,937 and 1,057,873,214

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Solution

The third proportional to 694,395,937 and 1,057,873,214 is: 1,611,610,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,395,937 : 1,057,873,214 = 1,057,873,214 : x
  2. Step 2: Convert to fraction form
    694,395,937/1,057,873,214 = 1,057,873,214/x
  3. Step 3: Cross multiply
    694,395,937x = 1,057,873,214 × 1,057,873,214
  4. Step 4: Simplify right side
    694,395,937x = 1,119,095,736,898,689,792
  5. Step 5: Solve for x
    x = 1,119,095,736,898,689,792/694,395,937
  6. Step 6: Final answer
    x = 1,611,610,433.28

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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.