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Finding the Third Proportional to 511,004 and 1,074,928

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Solution

The third proportional to 511,004 and 1,074,928 is: 2,261,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,004 : 1,074,928 = 1,074,928 : x
  2. Step 2: Convert to fraction form
    511,004/1,074,928 = 1,074,928/x
  3. Step 3: Cross multiply
    511,004x = 1,074,928 × 1,074,928
  4. Step 4: Simplify right side
    511,004x = 1,155,470,205,184
  5. Step 5: Solve for x
    x = 1,155,470,205,184/511,004
  6. Step 6: Final answer
    x = 2,261,176.44

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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.