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Finding the Third Proportional to 460,839 and 1,002,459.75

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Solution

The third proportional to 460,839 and 1,002,459.75 is: 2,180,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,839 : 1,002,459.75 = 1,002,459.75 : x
  2. Step 2: Convert to fraction form
    460,839/1,002,459.75 = 1,002,459.75/x
  3. Step 3: Cross multiply
    460,839x = 1,002,459.75 × 1,002,459.75
  4. Step 4: Simplify right side
    460,839x = 1,004,925,550,370.06
  5. Step 5: Solve for x
    x = 1,004,925,550,370.06/460,839
  6. Step 6: Final answer
    x = 2,180,643.46

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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.