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Finding the Third Proportional to 553,008 and 1,213,152

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Solution

The third proportional to 553,008 and 1,213,152 is: 2,661,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,008 : 1,213,152 = 1,213,152 : x
  2. Step 2: Convert to fraction form
    553,008/1,213,152 = 1,213,152/x
  3. Step 3: Cross multiply
    553,008x = 1,213,152 × 1,213,152
  4. Step 4: Simplify right side
    553,008x = 1,471,737,775,104
  5. Step 5: Solve for x
    x = 1,471,737,775,104/553,008
  6. Step 6: Final answer
    x = 2,661,331.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.