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Finding the Third Proportional to 750,474,293 and 1,131,617,384

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Solution

The third proportional to 750,474,293 and 1,131,617,384 is: 1,706,331,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,474,293 : 1,131,617,384 = 1,131,617,384 : x
  2. Step 2: Convert to fraction form
    750,474,293/1,131,617,384 = 1,131,617,384/x
  3. Step 3: Cross multiply
    750,474,293x = 1,131,617,384 × 1,131,617,384
  4. Step 4: Simplify right side
    750,474,293x = 1,280,557,903,771,003,392
  5. Step 5: Solve for x
    x = 1,280,557,903,771,003,392/750,474,293
  6. Step 6: Final answer
    x = 1,706,331,470.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.