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Finding the Third Proportional to 554,146 and 1,193,041

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Solution

The third proportional to 554,146 and 1,193,041 is: 2,568,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,146 : 1,193,041 = 1,193,041 : x
  2. Step 2: Convert to fraction form
    554,146/1,193,041 = 1,193,041/x
  3. Step 3: Cross multiply
    554,146x = 1,193,041 × 1,193,041
  4. Step 4: Simplify right side
    554,146x = 1,423,346,827,681
  5. Step 5: Solve for x
    x = 1,423,346,827,681/554,146
  6. Step 6: Final answer
    x = 2,568,541.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.