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Finding the Third Proportional to 1,446,399 and 3,110,470

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Solution

The third proportional to 1,446,399 and 3,110,470 is: 6,689,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,399 : 3,110,470 = 3,110,470 : x
  2. Step 2: Convert to fraction form
    1,446,399/3,110,470 = 3,110,470/x
  3. Step 3: Cross multiply
    1,446,399x = 3,110,470 × 3,110,470
  4. Step 4: Simplify right side
    1,446,399x = 9,675,023,620,900
  5. Step 5: Solve for x
    x = 9,675,023,620,900/1,446,399
  6. Step 6: Final answer
    x = 6,689,041.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.