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Finding the Third Proportional to 544,434,860 and 1,194,685,240

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Solution

The third proportional to 544,434,860 and 1,194,685,240 is: 2,621,567,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,434,860 : 1,194,685,240 = 1,194,685,240 : x
  2. Step 2: Convert to fraction form
    544,434,860/1,194,685,240 = 1,194,685,240/x
  3. Step 3: Cross multiply
    544,434,860x = 1,194,685,240 × 1,194,685,240
  4. Step 4: Simplify right side
    544,434,860x = 1,427,272,822,673,857,536
  5. Step 5: Solve for x
    x = 1,427,272,822,673,857,536/544,434,860
  6. Step 6: Final answer
    x = 2,621,567,661.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.