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Finding the Third Proportional to 500,040 and 1,102,896

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Solution

The third proportional to 500,040 and 1,102,896 is: 2,432,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,040 : 1,102,896 = 1,102,896 : x
  2. Step 2: Convert to fraction form
    500,040/1,102,896 = 1,102,896/x
  3. Step 3: Cross multiply
    500,040x = 1,102,896 × 1,102,896
  4. Step 4: Simplify right side
    500,040x = 1,216,379,586,816
  5. Step 5: Solve for x
    x = 1,216,379,586,816/500,040
  6. Step 6: Final answer
    x = 2,432,564.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.