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Finding the Third Proportional to 738,258 and 1,609,912

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Solution

The third proportional to 738,258 and 1,609,912 is: 3,510,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,258 : 1,609,912 = 1,609,912 : x
  2. Step 2: Convert to fraction form
    738,258/1,609,912 = 1,609,912/x
  3. Step 3: Cross multiply
    738,258x = 1,609,912 × 1,609,912
  4. Step 4: Simplify right side
    738,258x = 2,591,816,647,744
  5. Step 5: Solve for x
    x = 2,591,816,647,744/738,258
  6. Step 6: Final answer
    x = 3,510,719.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.