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Finding the Third Proportional to 1,674,165.94 and 3,633,735.28

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Solution

The third proportional to 1,674,165.94 and 3,633,735.28 is: 7,886,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,165.94 : 3,633,735.28 = 3,633,735.28 : x
  2. Step 2: Convert to fraction form
    1,674,165.94/3,633,735.28 = 3,633,735.28/x
  3. Step 3: Cross multiply
    1,674,165.94x = 3,633,735.28 × 3,633,735.28
  4. Step 4: Simplify right side
    1,674,165.94x = 13,204,032,094,201.02
  5. Step 5: Solve for x
    x = 13,204,032,094,201.02/1,674,165.94
  6. Step 6: Final answer
    x = 7,886,931.52

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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.