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Finding the Third Proportional to 523,841 and 1,124,146

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Solution

The third proportional to 523,841 and 1,124,146 is: 2,412,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,841 : 1,124,146 = 1,124,146 : x
  2. Step 2: Convert to fraction form
    523,841/1,124,146 = 1,124,146/x
  3. Step 3: Cross multiply
    523,841x = 1,124,146 × 1,124,146
  4. Step 4: Simplify right side
    523,841x = 1,263,704,229,316
  5. Step 5: Solve for x
    x = 1,263,704,229,316/523,841
  6. Step 6: Final answer
    x = 2,412,381.29

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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.