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Finding the Third Proportional to 541,447,826 and 824,862,170

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Solution

The third proportional to 541,447,826 and 824,862,170 is: 1,256,626,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,447,826 : 824,862,170 = 824,862,170 : x
  2. Step 2: Convert to fraction form
    541,447,826/824,862,170 = 824,862,170/x
  3. Step 3: Cross multiply
    541,447,826x = 824,862,170 × 824,862,170
  4. Step 4: Simplify right side
    541,447,826x = 680,397,599,497,108,864
  5. Step 5: Solve for x
    x = 680,397,599,497,108,864/541,447,826
  6. Step 6: Final answer
    x = 1,256,626,339.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.