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Finding the Third Proportional to 1,450,342.13 and 3,073,566.94

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Solution

The third proportional to 1,450,342.13 and 3,073,566.94 is: 6,513,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450,342.13 : 3,073,566.94 = 3,073,566.94 : x
  2. Step 2: Convert to fraction form
    1,450,342.13/3,073,566.94 = 3,073,566.94/x
  3. Step 3: Cross multiply
    1,450,342.13x = 3,073,566.94 × 3,073,566.94
  4. Step 4: Simplify right side
    1,450,342.13x = 9,446,813,719,293.13
  5. Step 5: Solve for x
    x = 9,446,813,719,293.13/1,450,342.13
  6. Step 6: Final answer
    x = 6,513,507.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.