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Finding the Third Proportional to 852,098 and 1,854,532

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Solution

The third proportional to 852,098 and 1,854,532 is: 4,036,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,098 : 1,854,532 = 1,854,532 : x
  2. Step 2: Convert to fraction form
    852,098/1,854,532 = 1,854,532/x
  3. Step 3: Cross multiply
    852,098x = 1,854,532 × 1,854,532
  4. Step 4: Simplify right side
    852,098x = 3,439,288,939,024
  5. Step 5: Solve for x
    x = 3,439,288,939,024/852,098
  6. Step 6: Final answer
    x = 4,036,259.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.