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Finding the Third Proportional to 764,032 and 1,566,296

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Solution

The third proportional to 764,032 and 1,566,296 is: 3,210,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,032 : 1,566,296 = 1,566,296 : x
  2. Step 2: Convert to fraction form
    764,032/1,566,296 = 1,566,296/x
  3. Step 3: Cross multiply
    764,032x = 1,566,296 × 1,566,296
  4. Step 4: Simplify right side
    764,032x = 2,453,283,159,616
  5. Step 5: Solve for x
    x = 2,453,283,159,616/764,032
  6. Step 6: Final answer
    x = 3,210,969.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.