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Finding the Third Proportional to 591,618.94 and 927,070.31

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Solution

The third proportional to 591,618.94 and 927,070.31 is: 1,452,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,618.94 : 927,070.31 = 927,070.31 : x
  2. Step 2: Convert to fraction form
    591,618.94/927,070.31 = 927,070.31/x
  3. Step 3: Cross multiply
    591,618.94x = 927,070.31 × 927,070.31
  4. Step 4: Simplify right side
    591,618.94x = 859,459,364,318.85
  5. Step 5: Solve for x
    x = 859,459,364,318.85/591,618.94
  6. Step 6: Final answer
    x = 1,452,724.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.