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Finding the Third Proportional to 1,164,024 and 1,738,867.50

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Solution

The third proportional to 1,164,024 and 1,738,867.50 is: 2,597,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,024 : 1,738,867.50 = 1,738,867.50 : x
  2. Step 2: Convert to fraction form
    1,164,024/1,738,867.50 = 1,738,867.50/x
  3. Step 3: Cross multiply
    1,164,024x = 1,738,867.50 × 1,738,867.50
  4. Step 4: Simplify right side
    1,164,024x = 3,023,660,182,556.25
  5. Step 5: Solve for x
    x = 3,023,660,182,556.25/1,164,024
  6. Step 6: Final answer
    x = 2,597,592.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.