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Finding the Third Proportional to 492,816 and 1,008,960

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Solution

The third proportional to 492,816 and 1,008,960 is: 2,065,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,816 : 1,008,960 = 1,008,960 : x
  2. Step 2: Convert to fraction form
    492,816/1,008,960 = 1,008,960/x
  3. Step 3: Cross multiply
    492,816x = 1,008,960 × 1,008,960
  4. Step 4: Simplify right side
    492,816x = 1,018,000,281,600
  5. Step 5: Solve for x
    x = 1,018,000,281,600/492,816
  6. Step 6: Final answer
    x = 2,065,680.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.