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Finding the Third Proportional to 1,585,364 and 3,394,930

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Solution

The third proportional to 1,585,364 and 3,394,930 is: 7,269,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,364 : 3,394,930 = 3,394,930 : x
  2. Step 2: Convert to fraction form
    1,585,364/3,394,930 = 3,394,930/x
  3. Step 3: Cross multiply
    1,585,364x = 3,394,930 × 3,394,930
  4. Step 4: Simplify right side
    1,585,364x = 11,525,549,704,900
  5. Step 5: Solve for x
    x = 11,525,549,704,900/1,585,364
  6. Step 6: Final answer
    x = 7,269,970.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.