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Finding the Third Proportional to 544,041,536 and 1,174,057,120

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Solution

The third proportional to 544,041,536 and 1,174,057,120 is: 2,533,648,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,041,536 : 1,174,057,120 = 1,174,057,120 : x
  2. Step 2: Convert to fraction form
    544,041,536/1,174,057,120 = 1,174,057,120/x
  3. Step 3: Cross multiply
    544,041,536x = 1,174,057,120 × 1,174,057,120
  4. Step 4: Simplify right side
    544,041,536x = 1,378,410,121,022,694,400
  5. Step 5: Solve for x
    x = 1,378,410,121,022,694,400/544,041,536
  6. Step 6: Final answer
    x = 2,533,648,682.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.