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Finding the Third Proportional to 381,546,528 and 826,478,916

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Solution

The third proportional to 381,546,528 and 826,478,916 is: 1,790,259,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,546,528 : 826,478,916 = 826,478,916 : x
  2. Step 2: Convert to fraction form
    381,546,528/826,478,916 = 826,478,916/x
  3. Step 3: Cross multiply
    381,546,528x = 826,478,916 × 826,478,916
  4. Step 4: Simplify right side
    381,546,528x = 683,067,398,592,535,040
  5. Step 5: Solve for x
    x = 683,067,398,592,535,040/381,546,528
  6. Step 6: Final answer
    x = 1,790,259,767.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.