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Finding the Third Proportional to 524,137 and 1,146,418

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Solution

The third proportional to 524,137 and 1,146,418 is: 2,507,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,137 : 1,146,418 = 1,146,418 : x
  2. Step 2: Convert to fraction form
    524,137/1,146,418 = 1,146,418/x
  3. Step 3: Cross multiply
    524,137x = 1,146,418 × 1,146,418
  4. Step 4: Simplify right side
    524,137x = 1,314,274,230,724
  5. Step 5: Solve for x
    x = 1,314,274,230,724/524,137
  6. Step 6: Final answer
    x = 2,507,501.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.