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Finding the Third Proportional to 926,397 and 1,391,823

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Solution

The third proportional to 926,397 and 1,391,823 is: 2,091,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,397 : 1,391,823 = 1,391,823 : x
  2. Step 2: Convert to fraction form
    926,397/1,391,823 = 1,391,823/x
  3. Step 3: Cross multiply
    926,397x = 1,391,823 × 1,391,823
  4. Step 4: Simplify right side
    926,397x = 1,937,171,263,329
  5. Step 5: Solve for x
    x = 1,937,171,263,329/926,397
  6. Step 6: Final answer
    x = 2,091,081.11

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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.