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Finding the Third Proportional to 619,468 and 1,272,293

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Solution

The third proportional to 619,468 and 1,272,293 is: 2,613,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,468 : 1,272,293 = 1,272,293 : x
  2. Step 2: Convert to fraction form
    619,468/1,272,293 = 1,272,293/x
  3. Step 3: Cross multiply
    619,468x = 1,272,293 × 1,272,293
  4. Step 4: Simplify right side
    619,468x = 1,618,729,477,849
  5. Step 5: Solve for x
    x = 1,618,729,477,849/619,468
  6. Step 6: Final answer
    x = 2,613,096.20

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.