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Finding the Third Proportional to 1,446,409 and 3,110,488

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Solution

The third proportional to 1,446,409 and 3,110,488 is: 6,689,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,409 : 3,110,488 = 3,110,488 : x
  2. Step 2: Convert to fraction form
    1,446,409/3,110,488 = 3,110,488/x
  3. Step 3: Cross multiply
    1,446,409x = 3,110,488 × 3,110,488
  4. Step 4: Simplify right side
    1,446,409x = 9,675,135,598,144
  5. Step 5: Solve for x
    x = 9,675,135,598,144/1,446,409
  6. Step 6: Final answer
    x = 6,689,073.14

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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.