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Finding the Third Proportional to 820,053 and 1,774,890

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Solution

The third proportional to 820,053 and 1,774,890 is: 3,841,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,053 : 1,774,890 = 1,774,890 : x
  2. Step 2: Convert to fraction form
    820,053/1,774,890 = 1,774,890/x
  3. Step 3: Cross multiply
    820,053x = 1,774,890 × 1,774,890
  4. Step 4: Simplify right side
    820,053x = 3,150,234,512,100
  5. Step 5: Solve for x
    x = 3,150,234,512,100/820,053
  6. Step 6: Final answer
    x = 3,841,501.11

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