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Finding the Third Proportional to 1,122,853 and 1,725,923

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Solution

The third proportional to 1,122,853 and 1,725,923 is: 2,652,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122,853 : 1,725,923 = 1,725,923 : x
  2. Step 2: Convert to fraction form
    1,122,853/1,725,923 = 1,725,923/x
  3. Step 3: Cross multiply
    1,122,853x = 1,725,923 × 1,725,923
  4. Step 4: Simplify right side
    1,122,853x = 2,978,810,201,929
  5. Step 5: Solve for x
    x = 2,978,810,201,929/1,122,853
  6. Step 6: Final answer
    x = 2,652,894.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.