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Finding the Third Proportional to 892,797 and 1,926,729

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Solution

The third proportional to 892,797 and 1,926,729 is: 4,158,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,797 : 1,926,729 = 1,926,729 : x
  2. Step 2: Convert to fraction form
    892,797/1,926,729 = 1,926,729/x
  3. Step 3: Cross multiply
    892,797x = 1,926,729 × 1,926,729
  4. Step 4: Simplify right side
    892,797x = 3,712,284,639,441
  5. Step 5: Solve for x
    x = 3,712,284,639,441/892,797
  6. Step 6: Final answer
    x = 4,158,038.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.