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Finding the Third Proportional to 738,500 and 1,738,712

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Solution

The third proportional to 738,500 and 1,738,712 is: 4,093,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,500 : 1,738,712 = 1,738,712 : x
  2. Step 2: Convert to fraction form
    738,500/1,738,712 = 1,738,712/x
  3. Step 3: Cross multiply
    738,500x = 1,738,712 × 1,738,712
  4. Step 4: Simplify right side
    738,500x = 3,023,119,418,944
  5. Step 5: Solve for x
    x = 3,023,119,418,944/738,500
  6. Step 6: Final answer
    x = 4,093,594.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.