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Finding the Third Proportional to 426,791 and 893,036

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Solution

The third proportional to 426,791 and 893,036 is: 1,868,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,791 : 893,036 = 893,036 : x
  2. Step 2: Convert to fraction form
    426,791/893,036 = 893,036/x
  3. Step 3: Cross multiply
    426,791x = 893,036 × 893,036
  4. Step 4: Simplify right side
    426,791x = 797,513,297,296
  5. Step 5: Solve for x
    x = 797,513,297,296/426,791
  6. Step 6: Final answer
    x = 1,868,627.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.