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Finding the Third Proportional to 524,258 and 1,137,292

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Solution

The third proportional to 524,258 and 1,137,292 is: 2,467,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,258 : 1,137,292 = 1,137,292 : x
  2. Step 2: Convert to fraction form
    524,258/1,137,292 = 1,137,292/x
  3. Step 3: Cross multiply
    524,258x = 1,137,292 × 1,137,292
  4. Step 4: Simplify right side
    524,258x = 1,293,433,093,264
  5. Step 5: Solve for x
    x = 1,293,433,093,264/524,258
  6. Step 6: Final answer
    x = 2,467,169.01

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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.