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Finding the Third Proportional to 1,985,134.50 and 4,348,350

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Solution

The third proportional to 1,985,134.50 and 4,348,350 is: 9,524,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985,134.50 : 4,348,350 = 4,348,350 : x
  2. Step 2: Convert to fraction form
    1,985,134.50/4,348,350 = 4,348,350/x
  3. Step 3: Cross multiply
    1,985,134.50x = 4,348,350 × 4,348,350
  4. Step 4: Simplify right side
    1,985,134.50x = 18,908,147,722,500
  5. Step 5: Solve for x
    x = 18,908,147,722,500/1,985,134.50
  6. Step 6: Final answer
    x = 9,524,869.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.