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Finding the Third Proportional to 524,899,019 and 807,924,149

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Solution

The third proportional to 524,899,019 and 807,924,149 is: 1,243,556,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,899,019 : 807,924,149 = 807,924,149 : x
  2. Step 2: Convert to fraction form
    524,899,019/807,924,149 = 807,924,149/x
  3. Step 3: Cross multiply
    524,899,019x = 807,924,149 × 807,924,149
  4. Step 4: Simplify right side
    524,899,019x = 652,741,430,537,374,208
  5. Step 5: Solve for x
    x = 652,741,430,537,374,208/524,899,019
  6. Step 6: Final answer
    x = 1,243,556,202.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.