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Finding the Third Proportional to 460,266 and 1,004,205

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Solution

The third proportional to 460,266 and 1,004,205 is: 2,190,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,266 : 1,004,205 = 1,004,205 : x
  2. Step 2: Convert to fraction form
    460,266/1,004,205 = 1,004,205/x
  3. Step 3: Cross multiply
    460,266x = 1,004,205 × 1,004,205
  4. Step 4: Simplify right side
    460,266x = 1,008,427,682,025
  5. Step 5: Solve for x
    x = 1,008,427,682,025/460,266
  6. Step 6: Final answer
    x = 2,190,967.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.