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Finding the Third Proportional to 2,514,706 and 5,145,620

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Solution

The third proportional to 2,514,706 and 5,145,620 is: 10,529,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,706 : 5,145,620 = 5,145,620 : x
  2. Step 2: Convert to fraction form
    2,514,706/5,145,620 = 5,145,620/x
  3. Step 3: Cross multiply
    2,514,706x = 5,145,620 × 5,145,620
  4. Step 4: Simplify right side
    2,514,706x = 26,477,405,184,400
  5. Step 5: Solve for x
    x = 26,477,405,184,400/2,514,706
  6. Step 6: Final answer
    x = 10,529,026.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.