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Finding the Third Proportional to 420,091 and 921,829

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Solution

The third proportional to 420,091 and 921,829 is: 2,022,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,091 : 921,829 = 921,829 : x
  2. Step 2: Convert to fraction form
    420,091/921,829 = 921,829/x
  3. Step 3: Cross multiply
    420,091x = 921,829 × 921,829
  4. Step 4: Simplify right side
    420,091x = 849,768,705,241
  5. Step 5: Solve for x
    x = 849,768,705,241/420,091
  6. Step 6: Final answer
    x = 2,022,820.54

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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.