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Finding the Third Proportional to 484,920 and 1,052,784

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Solution

The third proportional to 484,920 and 1,052,784 is: 2,285,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,920 : 1,052,784 = 1,052,784 : x
  2. Step 2: Convert to fraction form
    484,920/1,052,784 = 1,052,784/x
  3. Step 3: Cross multiply
    484,920x = 1,052,784 × 1,052,784
  4. Step 4: Simplify right side
    484,920x = 1,108,354,150,656
  5. Step 5: Solve for x
    x = 1,108,354,150,656/484,920
  6. Step 6: Final answer
    x = 2,285,643.30

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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.