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Finding the Third Proportional to 2,677,214 and 4,021,707

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Solution

The third proportional to 2,677,214 and 4,021,707 is: 6,041,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677,214 : 4,021,707 = 4,021,707 : x
  2. Step 2: Convert to fraction form
    2,677,214/4,021,707 = 4,021,707/x
  3. Step 3: Cross multiply
    2,677,214x = 4,021,707 × 4,021,707
  4. Step 4: Simplify right side
    2,677,214x = 16,174,127,193,849
  5. Step 5: Solve for x
    x = 16,174,127,193,849/2,677,214
  6. Step 6: Final answer
    x = 6,041,402.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.