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Finding the Third Proportional to 433,197 and 950,091

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Solution

The third proportional to 433,197 and 950,091 is: 2,083,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,197 : 950,091 = 950,091 : x
  2. Step 2: Convert to fraction form
    433,197/950,091 = 950,091/x
  3. Step 3: Cross multiply
    433,197x = 950,091 × 950,091
  4. Step 4: Simplify right side
    433,197x = 902,672,908,281
  5. Step 5: Solve for x
    x = 902,672,908,281/433,197
  6. Step 6: Final answer
    x = 2,083,746.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.