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Finding the Third Proportional to 389,100 and 852,010.50

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Solution

The third proportional to 389,100 and 852,010.50 is: 1,865,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,100 : 852,010.50 = 852,010.50 : x
  2. Step 2: Convert to fraction form
    389,100/852,010.50 = 852,010.50/x
  3. Step 3: Cross multiply
    389,100x = 852,010.50 × 852,010.50
  4. Step 4: Simplify right side
    389,100x = 725,921,892,110.25
  5. Step 5: Solve for x
    x = 725,921,892,110.25/389,100
  6. Step 6: Final answer
    x = 1,865,643.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.