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Finding the Third Proportional to 761,125.50 and 1,803,161.25

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Solution

The third proportional to 761,125.50 and 1,803,161.25 is: 4,271,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,125.50 : 1,803,161.25 = 1,803,161.25 : x
  2. Step 2: Convert to fraction form
    761,125.50/1,803,161.25 = 1,803,161.25/x
  3. Step 3: Cross multiply
    761,125.50x = 1,803,161.25 × 1,803,161.25
  4. Step 4: Simplify right side
    761,125.50x = 3,251,390,493,501.56
  5. Step 5: Solve for x
    x = 3,251,390,493,501.56/761,125.50
  6. Step 6: Final answer
    x = 4,271,819.16

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.