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Finding the Third Proportional to 591,610 and 1,295,167

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Solution

The third proportional to 591,610 and 1,295,167 is: 2,835,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,610 : 1,295,167 = 1,295,167 : x
  2. Step 2: Convert to fraction form
    591,610/1,295,167 = 1,295,167/x
  3. Step 3: Cross multiply
    591,610x = 1,295,167 × 1,295,167
  4. Step 4: Simplify right side
    591,610x = 1,677,457,557,889
  5. Step 5: Solve for x
    x = 1,677,457,557,889/591,610
  6. Step 6: Final answer
    x = 2,835,411.09

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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.