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Finding the Third Proportional to 830,425.50 and 1,798,586.44

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Solution

The third proportional to 830,425.50 and 1,798,586.44 is: 3,895,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,425.50 : 1,798,586.44 = 1,798,586.44 : x
  2. Step 2: Convert to fraction form
    830,425.50/1,798,586.44 = 1,798,586.44/x
  3. Step 3: Cross multiply
    830,425.50x = 1,798,586.44 × 1,798,586.44
  4. Step 4: Simplify right side
    830,425.50x = 3,234,913,173,158.94
  5. Step 5: Solve for x
    x = 3,234,913,173,158.94/830,425.50
  6. Step 6: Final answer
    x = 3,895,488.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.