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Finding the Third Proportional to 524,616 and 1,154,208

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Solution

The third proportional to 524,616 and 1,154,208 is: 2,539,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,616 : 1,154,208 = 1,154,208 : x
  2. Step 2: Convert to fraction form
    524,616/1,154,208 = 1,154,208/x
  3. Step 3: Cross multiply
    524,616x = 1,154,208 × 1,154,208
  4. Step 4: Simplify right side
    524,616x = 1,332,196,107,264
  5. Step 5: Solve for x
    x = 1,332,196,107,264/524,616
  6. Step 6: Final answer
    x = 2,539,373.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.