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Finding the Third Proportional to 919,782 and 1,374,009

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Solution

The third proportional to 919,782 and 1,374,009 is: 2,052,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,782 : 1,374,009 = 1,374,009 : x
  2. Step 2: Convert to fraction form
    919,782/1,374,009 = 1,374,009/x
  3. Step 3: Cross multiply
    919,782x = 1,374,009 × 1,374,009
  4. Step 4: Simplify right side
    919,782x = 1,887,900,732,081
  5. Step 5: Solve for x
    x = 1,887,900,732,081/919,782
  6. Step 6: Final answer
    x = 2,052,552.38

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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.