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Finding the Third Proportional to 2,030,199.75 and 4,514,319

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Solution

The third proportional to 2,030,199.75 and 4,514,319 is: 10,037,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,199.75 : 4,514,319 = 4,514,319 : x
  2. Step 2: Convert to fraction form
    2,030,199.75/4,514,319 = 4,514,319/x
  3. Step 3: Cross multiply
    2,030,199.75x = 4,514,319 × 4,514,319
  4. Step 4: Simplify right side
    2,030,199.75x = 20,379,076,033,761
  5. Step 5: Solve for x
    x = 20,379,076,033,761/2,030,199.75
  6. Step 6: Final answer
    x = 10,037,965.99

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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.