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Finding the Third Proportional to 433,951 and 889,038

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Solution

The third proportional to 433,951 and 889,038 is: 1,821,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,951 : 889,038 = 889,038 : x
  2. Step 2: Convert to fraction form
    433,951/889,038 = 889,038/x
  3. Step 3: Cross multiply
    433,951x = 889,038 × 889,038
  4. Step 4: Simplify right side
    433,951x = 790,388,565,444
  5. Step 5: Solve for x
    x = 790,388,565,444/433,951
  6. Step 6: Final answer
    x = 1,821,377.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.