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Finding the Third Proportional to 2,030,435 and 4,514,745

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Solution

The third proportional to 2,030,435 and 4,514,745 is: 10,038,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,435 : 4,514,745 = 4,514,745 : x
  2. Step 2: Convert to fraction form
    2,030,435/4,514,745 = 4,514,745/x
  3. Step 3: Cross multiply
    2,030,435x = 4,514,745 × 4,514,745
  4. Step 4: Simplify right side
    2,030,435x = 20,382,922,415,025
  5. Step 5: Solve for x
    x = 20,382,922,415,025/2,030,435
  6. Step 6: Final answer
    x = 10,038,697.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.