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Finding the Third Proportional to 923,915 and 1,382,106

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Solution

The third proportional to 923,915 and 1,382,106 is: 2,067,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,915 : 1,382,106 = 1,382,106 : x
  2. Step 2: Convert to fraction form
    923,915/1,382,106 = 1,382,106/x
  3. Step 3: Cross multiply
    923,915x = 1,382,106 × 1,382,106
  4. Step 4: Simplify right side
    923,915x = 1,910,216,995,236
  5. Step 5: Solve for x
    x = 1,910,216,995,236/923,915
  6. Step 6: Final answer
    x = 2,067,524.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.