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Finding the Third Proportional to 591,127.88 and 917,188.31

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Solution

The third proportional to 591,127.88 and 917,188.31 is: 1,423,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,127.88 : 917,188.31 = 917,188.31 : x
  2. Step 2: Convert to fraction form
    591,127.88/917,188.31 = 917,188.31/x
  3. Step 3: Cross multiply
    591,127.88x = 917,188.31 × 917,188.31
  4. Step 4: Simplify right side
    591,127.88x = 841,234,400,586.60
  5. Step 5: Solve for x
    x = 841,234,400,586.60/591,127.88
  6. Step 6: Final answer
    x = 1,423,100.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.