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Finding the Third Proportional to 845,588,310 and 1,293,655,434

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Solution

The third proportional to 845,588,310 and 1,293,655,434 is: 1,979,147,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,588,310 : 1,293,655,434 = 1,293,655,434 : x
  2. Step 2: Convert to fraction form
    845,588,310/1,293,655,434 = 1,293,655,434/x
  3. Step 3: Cross multiply
    845,588,310x = 1,293,655,434 × 1,293,655,434
  4. Step 4: Simplify right side
    845,588,310x = 1,673,544,381,917,728,256
  5. Step 5: Solve for x
    x = 1,673,544,381,917,728,256/845,588,310
  6. Step 6: Final answer
    x = 1,979,147,963.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.