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Finding the Third Proportional to 4,042,413 and 5,945,319

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Solution

The third proportional to 4,042,413 and 5,945,319 is: 8,743,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042,413 : 5,945,319 = 5,945,319 : x
  2. Step 2: Convert to fraction form
    4,042,413/5,945,319 = 5,945,319/x
  3. Step 3: Cross multiply
    4,042,413x = 5,945,319 × 5,945,319
  4. Step 4: Simplify right side
    4,042,413x = 35,346,818,011,761
  5. Step 5: Solve for x
    x = 35,346,818,011,761/4,042,413
  6. Step 6: Final answer
    x = 8,743,989.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.