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Finding the Third Proportional to 1,682,359.88 and 3,648,665.25

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Solution

The third proportional to 1,682,359.88 and 3,648,665.25 is: 7,913,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,359.88 : 3,648,665.25 = 3,648,665.25 : x
  2. Step 2: Convert to fraction form
    1,682,359.88/3,648,665.25 = 3,648,665.25/x
  3. Step 3: Cross multiply
    1,682,359.88x = 3,648,665.25 × 3,648,665.25
  4. Step 4: Simplify right side
    1,682,359.88x = 13,312,758,106,557.56
  5. Step 5: Solve for x
    x = 13,312,758,106,557.56/1,682,359.88
  6. Step 6: Final answer
    x = 7,913,145.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.