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Finding the Third Proportional to 713,395.69 and 1,682,349.75

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Solution

The third proportional to 713,395.69 and 1,682,349.75 is: 3,967,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,395.69 : 1,682,349.75 = 1,682,349.75 : x
  2. Step 2: Convert to fraction form
    713,395.69/1,682,349.75 = 1,682,349.75/x
  3. Step 3: Cross multiply
    713,395.69x = 1,682,349.75 × 1,682,349.75
  4. Step 4: Simplify right side
    713,395.69x = 2,830,300,681,325.06
  5. Step 5: Solve for x
    x = 2,830,300,681,325.06/713,395.69
  6. Step 6: Final answer
    x = 3,967,364.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.