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Finding the Third Proportional to 498,858 and 1,130,880

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Solution

The third proportional to 498,858 and 1,130,880 is: 2,563,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,858 : 1,130,880 = 1,130,880 : x
  2. Step 2: Convert to fraction form
    498,858/1,130,880 = 1,130,880/x
  3. Step 3: Cross multiply
    498,858x = 1,130,880 × 1,130,880
  4. Step 4: Simplify right side
    498,858x = 1,278,889,574,400
  5. Step 5: Solve for x
    x = 1,278,889,574,400/498,858
  6. Step 6: Final answer
    x = 2,563,634.49

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.