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Finding the Third Proportional to 659,617 and 1,445,481

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Solution

The third proportional to 659,617 and 1,445,481 is: 3,167,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,617 : 1,445,481 = 1,445,481 : x
  2. Step 2: Convert to fraction form
    659,617/1,445,481 = 1,445,481/x
  3. Step 3: Cross multiply
    659,617x = 1,445,481 × 1,445,481
  4. Step 4: Simplify right side
    659,617x = 2,089,415,321,361
  5. Step 5: Solve for x
    x = 2,089,415,321,361/659,617
  6. Step 6: Final answer
    x = 3,167,618.97

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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.