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Finding the Third Proportional to 1,076,313,736 and 1,684,724,962

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Solution

The third proportional to 1,076,313,736 and 1,684,724,962 is: 2,637,054,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,313,736 : 1,684,724,962 = 1,684,724,962 : x
  2. Step 2: Convert to fraction form
    1,076,313,736/1,684,724,962 = 1,684,724,962/x
  3. Step 3: Cross multiply
    1,076,313,736x = 1,684,724,962 × 1,684,724,962
  4. Step 4: Simplify right side
    1,076,313,736x = 2,838,298,197,585,901,568
  5. Step 5: Solve for x
    x = 2,838,298,197,585,901,568/1,076,313,736
  6. Step 6: Final answer
    x = 2,637,054,701.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.