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Finding the Third Proportional to 772,057 and 1,113,795

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Solution

The third proportional to 772,057 and 1,113,795 is: 1,606,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,057 : 1,113,795 = 1,113,795 : x
  2. Step 2: Convert to fraction form
    772,057/1,113,795 = 1,113,795/x
  3. Step 3: Cross multiply
    772,057x = 1,113,795 × 1,113,795
  4. Step 4: Simplify right side
    772,057x = 1,240,539,302,025
  5. Step 5: Solve for x
    x = 1,240,539,302,025/772,057
  6. Step 6: Final answer
    x = 1,606,797.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.