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Finding the Third Proportional to 523,368 and 1,165,152

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Solution

The third proportional to 523,368 and 1,165,152 is: 2,593,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,368 : 1,165,152 = 1,165,152 : x
  2. Step 2: Convert to fraction form
    523,368/1,165,152 = 1,165,152/x
  3. Step 3: Cross multiply
    523,368x = 1,165,152 × 1,165,152
  4. Step 4: Simplify right side
    523,368x = 1,357,579,183,104
  5. Step 5: Solve for x
    x = 1,357,579,183,104/523,368
  6. Step 6: Final answer
    x = 2,593,928.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.