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Finding the Third Proportional to 1,585,362.28 and 3,394,926.09

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Solution

The third proportional to 1,585,362.28 and 3,394,926.09 is: 7,269,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,362.28 : 3,394,926.09 = 3,394,926.09 : x
  2. Step 2: Convert to fraction form
    1,585,362.28/3,394,926.09 = 3,394,926.09/x
  3. Step 3: Cross multiply
    1,585,362.28x = 3,394,926.09 × 3,394,926.09
  4. Step 4: Simplify right side
    1,585,362.28x = 11,525,523,182,024.63
  5. Step 5: Solve for x
    x = 11,525,523,182,024.63/1,585,362.28
  6. Step 6: Final answer
    x = 7,269,961.77

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Why These Related Problems?

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