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Finding the Third Proportional to 2,034,066 and 2,762,514

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Solution

The third proportional to 2,034,066 and 2,762,514 is: 3,751,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,066 : 2,762,514 = 2,762,514 : x
  2. Step 2: Convert to fraction form
    2,034,066/2,762,514 = 2,762,514/x
  3. Step 3: Cross multiply
    2,034,066x = 2,762,514 × 2,762,514
  4. Step 4: Simplify right side
    2,034,066x = 7,631,483,600,196
  5. Step 5: Solve for x
    x = 7,631,483,600,196/2,034,066
  6. Step 6: Final answer
    x = 3,751,836.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.