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Finding the Third Proportional to 524,265 and 1,137,306

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Solution

The third proportional to 524,265 and 1,137,306 is: 2,467,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,265 : 1,137,306 = 1,137,306 : x
  2. Step 2: Convert to fraction form
    524,265/1,137,306 = 1,137,306/x
  3. Step 3: Cross multiply
    524,265x = 1,137,306 × 1,137,306
  4. Step 4: Simplify right side
    524,265x = 1,293,464,937,636
  5. Step 5: Solve for x
    x = 1,293,464,937,636/524,265
  6. Step 6: Final answer
    x = 2,467,196.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.