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Finding the Third Proportional to 591,737 and 1,294,192

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Solution

The third proportional to 591,737 and 1,294,192 is: 2,830,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,737 : 1,294,192 = 1,294,192 : x
  2. Step 2: Convert to fraction form
    591,737/1,294,192 = 1,294,192/x
  3. Step 3: Cross multiply
    591,737x = 1,294,192 × 1,294,192
  4. Step 4: Simplify right side
    591,737x = 1,674,932,932,864
  5. Step 5: Solve for x
    x = 1,674,932,932,864/591,737
  6. Step 6: Final answer
    x = 2,830,536.09

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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.