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Finding the Third Proportional to 524,140.88 and 1,133,969.63

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Solution

The third proportional to 524,140.88 and 1,133,969.63 is: 2,453,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,140.88 : 1,133,969.63 = 1,133,969.63 : x
  2. Step 2: Convert to fraction form
    524,140.88/1,133,969.63 = 1,133,969.63/x
  3. Step 3: Cross multiply
    524,140.88x = 1,133,969.63 × 1,133,969.63
  4. Step 4: Simplify right side
    524,140.88x = 1,285,887,110,422.64
  5. Step 5: Solve for x
    x = 1,285,887,110,422.64/524,140.88
  6. Step 6: Final answer
    x = 2,453,323.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.