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Finding the Third Proportional to 731,085.75 and 1,090,543.50

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Solution

The third proportional to 731,085.75 and 1,090,543.50 is: 1,626,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,085.75 : 1,090,543.50 = 1,090,543.50 : x
  2. Step 2: Convert to fraction form
    731,085.75/1,090,543.50 = 1,090,543.50/x
  3. Step 3: Cross multiply
    731,085.75x = 1,090,543.50 × 1,090,543.50
  4. Step 4: Simplify right side
    731,085.75x = 1,189,285,125,392.25
  5. Step 5: Solve for x
    x = 1,189,285,125,392.25/731,085.75
  6. Step 6: Final answer
    x = 1,626,738.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.