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Finding the Third Proportional to 2,070,300 and 4,524,414.75

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Solution

The third proportional to 2,070,300 and 4,524,414.75 is: 9,887,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070,300 : 4,524,414.75 = 4,524,414.75 : x
  2. Step 2: Convert to fraction form
    2,070,300/4,524,414.75 = 4,524,414.75/x
  3. Step 3: Cross multiply
    2,070,300x = 4,524,414.75 × 4,524,414.75
  4. Step 4: Simplify right side
    2,070,300x = 20,470,328,830,017.56
  5. Step 5: Solve for x
    x = 20,470,328,830,017.56/2,070,300
  6. Step 6: Final answer
    x = 9,887,614.76

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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.