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Finding the Third Proportional to 814,608 and 1,651,038

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Solution

The third proportional to 814,608 and 1,651,038 is: 3,346,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,608 : 1,651,038 = 1,651,038 : x
  2. Step 2: Convert to fraction form
    814,608/1,651,038 = 1,651,038/x
  3. Step 3: Cross multiply
    814,608x = 1,651,038 × 1,651,038
  4. Step 4: Simplify right side
    814,608x = 2,725,926,477,444
  5. Step 5: Solve for x
    x = 2,725,926,477,444/814,608
  6. Step 6: Final answer
    x = 3,346,304.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.