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Finding the Third Proportional to 544,434,856 and 1,194,685,232

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Solution

The third proportional to 544,434,856 and 1,194,685,232 is: 2,621,567,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,434,856 : 1,194,685,232 = 1,194,685,232 : x
  2. Step 2: Convert to fraction form
    544,434,856/1,194,685,232 = 1,194,685,232/x
  3. Step 3: Cross multiply
    544,434,856x = 1,194,685,232 × 1,194,685,232
  4. Step 4: Simplify right side
    544,434,856x = 1,427,272,803,558,893,824
  5. Step 5: Solve for x
    x = 1,427,272,803,558,893,824/544,434,856
  6. Step 6: Final answer
    x = 2,621,567,645.48

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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.