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Finding the Third Proportional to 775,710 and 1,645,326

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Solution

The third proportional to 775,710 and 1,645,326 is: 3,489,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,710 : 1,645,326 = 1,645,326 : x
  2. Step 2: Convert to fraction form
    775,710/1,645,326 = 1,645,326/x
  3. Step 3: Cross multiply
    775,710x = 1,645,326 × 1,645,326
  4. Step 4: Simplify right side
    775,710x = 2,707,097,646,276
  5. Step 5: Solve for x
    x = 2,707,097,646,276/775,710
  6. Step 6: Final answer
    x = 3,489,832.08

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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.