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Finding the Third Proportional to 777,216 and 1,832,086

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Solution

The third proportional to 777,216 and 1,832,086 is: 4,318,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,216 : 1,832,086 = 1,832,086 : x
  2. Step 2: Convert to fraction form
    777,216/1,832,086 = 1,832,086/x
  3. Step 3: Cross multiply
    777,216x = 1,832,086 × 1,832,086
  4. Step 4: Simplify right side
    777,216x = 3,356,539,111,396
  5. Step 5: Solve for x
    x = 3,356,539,111,396/777,216
  6. Step 6: Final answer
    x = 4,318,669.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.