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Finding the Third Proportional to 597,829,926 and 1,293,917,064

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Solution

The third proportional to 597,829,926 and 1,293,917,064 is: 2,800,497,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,829,926 : 1,293,917,064 = 1,293,917,064 : x
  2. Step 2: Convert to fraction form
    597,829,926/1,293,917,064 = 1,293,917,064/x
  3. Step 3: Cross multiply
    597,829,926x = 1,293,917,064 × 1,293,917,064
  4. Step 4: Simplify right side
    597,829,926x = 1,674,221,368,510,380,032
  5. Step 5: Solve for x
    x = 1,674,221,368,510,380,032/597,829,926
  6. Step 6: Final answer
    x = 2,800,497,759.81

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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.