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Finding the Third Proportional to 501,120 and 1,054,704

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Solution

The third proportional to 501,120 and 1,054,704 is: 2,219,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,120 : 1,054,704 = 1,054,704 : x
  2. Step 2: Convert to fraction form
    501,120/1,054,704 = 1,054,704/x
  3. Step 3: Cross multiply
    501,120x = 1,054,704 × 1,054,704
  4. Step 4: Simplify right side
    501,120x = 1,112,400,527,616
  5. Step 5: Solve for x
    x = 1,112,400,527,616/501,120
  6. Step 6: Final answer
    x = 2,219,828.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.