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Finding the Third Proportional to 461,168 and 1,009,816

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Solution

The third proportional to 461,168 and 1,009,816 is: 2,211,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,168 : 1,009,816 = 1,009,816 : x
  2. Step 2: Convert to fraction form
    461,168/1,009,816 = 1,009,816/x
  3. Step 3: Cross multiply
    461,168x = 1,009,816 × 1,009,816
  4. Step 4: Simplify right side
    461,168x = 1,019,728,353,856
  5. Step 5: Solve for x
    x = 1,019,728,353,856/461,168
  6. Step 6: Final answer
    x = 2,211,186.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.