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Finding the Third Proportional to 1,085,735 and 1,597,024

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Solution

The third proportional to 1,085,735 and 1,597,024 is: 2,349,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,735 : 1,597,024 = 1,597,024 : x
  2. Step 2: Convert to fraction form
    1,085,735/1,597,024 = 1,597,024/x
  3. Step 3: Cross multiply
    1,085,735x = 1,597,024 × 1,597,024
  4. Step 4: Simplify right side
    1,085,735x = 2,550,485,656,576
  5. Step 5: Solve for x
    x = 2,550,485,656,576/1,085,735
  6. Step 6: Final answer
    x = 2,349,086.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.