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Finding the Third Proportional to 740,211 and 1,084,650

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Solution

The third proportional to 740,211 and 1,084,650 is: 1,589,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,211 : 1,084,650 = 1,084,650 : x
  2. Step 2: Convert to fraction form
    740,211/1,084,650 = 1,084,650/x
  3. Step 3: Cross multiply
    740,211x = 1,084,650 × 1,084,650
  4. Step 4: Simplify right side
    740,211x = 1,176,465,622,500
  5. Step 5: Solve for x
    x = 1,176,465,622,500/740,211
  6. Step 6: Final answer
    x = 1,589,365.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.