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Finding the Third Proportional to 524,734,301 and 1,148,317,042

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Solution

The third proportional to 524,734,301 and 1,148,317,042 is: 2,512,951,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,734,301 : 1,148,317,042 = 1,148,317,042 : x
  2. Step 2: Convert to fraction form
    524,734,301/1,148,317,042 = 1,148,317,042/x
  3. Step 3: Cross multiply
    524,734,301x = 1,148,317,042 × 1,148,317,042
  4. Step 4: Simplify right side
    524,734,301x = 1,318,632,028,947,629,824
  5. Step 5: Solve for x
    x = 1,318,632,028,947,629,824/524,734,301
  6. Step 6: Final answer
    x = 2,512,951,843.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.