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Finding the Third Proportional to 524,961 and 1,124,274.94

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Solution

The third proportional to 524,961 and 1,124,274.94 is: 2,407,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,961 : 1,124,274.94 = 1,124,274.94 : x
  2. Step 2: Convert to fraction form
    524,961/1,124,274.94 = 1,124,274.94/x
  3. Step 3: Cross multiply
    524,961x = 1,124,274.94 × 1,124,274.94
  4. Step 4: Simplify right side
    524,961x = 1,263,994,135,090.63
  5. Step 5: Solve for x
    x = 1,263,994,135,090.63/524,961
  6. Step 6: Final answer
    x = 2,407,786.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.