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Finding the Third Proportional to 820,052 and 1,774,888

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Solution

The third proportional to 820,052 and 1,774,888 is: 3,841,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,052 : 1,774,888 = 1,774,888 : x
  2. Step 2: Convert to fraction form
    820,052/1,774,888 = 1,774,888/x
  3. Step 3: Cross multiply
    820,052x = 1,774,888 × 1,774,888
  4. Step 4: Simplify right side
    820,052x = 3,150,227,412,544
  5. Step 5: Solve for x
    x = 3,150,227,412,544/820,052
  6. Step 6: Final answer
    x = 3,841,497.14

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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.