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Finding the Third Proportional to 689,374 and 1,458,232

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Solution

The third proportional to 689,374 and 1,458,232 is: 3,084,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,374 : 1,458,232 = 1,458,232 : x
  2. Step 2: Convert to fraction form
    689,374/1,458,232 = 1,458,232/x
  3. Step 3: Cross multiply
    689,374x = 1,458,232 × 1,458,232
  4. Step 4: Simplify right side
    689,374x = 2,126,440,565,824
  5. Step 5: Solve for x
    x = 2,126,440,565,824/689,374
  6. Step 6: Final answer
    x = 3,084,596.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.