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Finding the Third Proportional to 507,110 and 1,101,784

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Solution

The third proportional to 507,110 and 1,101,784 is: 2,393,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,110 : 1,101,784 = 1,101,784 : x
  2. Step 2: Convert to fraction form
    507,110/1,101,784 = 1,101,784/x
  3. Step 3: Cross multiply
    507,110x = 1,101,784 × 1,101,784
  4. Step 4: Simplify right side
    507,110x = 1,213,927,982,656
  5. Step 5: Solve for x
    x = 1,213,927,982,656/507,110
  6. Step 6: Final answer
    x = 2,393,815.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.