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Finding the Third Proportional to 820,107 and 1,774,998

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Solution

The third proportional to 820,107 and 1,774,998 is: 3,841,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,107 : 1,774,998 = 1,774,998 : x
  2. Step 2: Convert to fraction form
    820,107/1,774,998 = 1,774,998/x
  3. Step 3: Cross multiply
    820,107x = 1,774,998 × 1,774,998
  4. Step 4: Simplify right side
    820,107x = 3,150,617,900,004
  5. Step 5: Solve for x
    x = 3,150,617,900,004/820,107
  6. Step 6: Final answer
    x = 3,841,715.65

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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.