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Finding the Third Proportional to 588,489 and 1,247,596.50

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Solution

The third proportional to 588,489 and 1,247,596.50 is: 2,644,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,489 : 1,247,596.50 = 1,247,596.50 : x
  2. Step 2: Convert to fraction form
    588,489/1,247,596.50 = 1,247,596.50/x
  3. Step 3: Cross multiply
    588,489x = 1,247,596.50 × 1,247,596.50
  4. Step 4: Simplify right side
    588,489x = 1,556,497,026,812.25
  5. Step 5: Solve for x
    x = 1,556,497,026,812.25/588,489
  6. Step 6: Final answer
    x = 2,644,904.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.