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Finding the Third Proportional to 633,888 and 1,375,258

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Solution

The third proportional to 633,888 and 1,375,258 is: 2,983,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,888 : 1,375,258 = 1,375,258 : x
  2. Step 2: Convert to fraction form
    633,888/1,375,258 = 1,375,258/x
  3. Step 3: Cross multiply
    633,888x = 1,375,258 × 1,375,258
  4. Step 4: Simplify right side
    633,888x = 1,891,334,566,564
  5. Step 5: Solve for x
    x = 1,891,334,566,564/633,888
  6. Step 6: Final answer
    x = 2,983,704.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.