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Finding the Third Proportional to 637,888 and 1,374,080

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Solution

The third proportional to 637,888 and 1,374,080 is: 2,959,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,888 : 1,374,080 = 1,374,080 : x
  2. Step 2: Convert to fraction form
    637,888/1,374,080 = 1,374,080/x
  3. Step 3: Cross multiply
    637,888x = 1,374,080 × 1,374,080
  4. Step 4: Simplify right side
    637,888x = 1,888,095,846,400
  5. Step 5: Solve for x
    x = 1,888,095,846,400/637,888
  6. Step 6: Final answer
    x = 2,959,917.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.