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Finding the Third Proportional to 576,604 and 1,238,460

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Solution

The third proportional to 576,604 and 1,238,460 is: 2,660,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,604 : 1,238,460 = 1,238,460 : x
  2. Step 2: Convert to fraction form
    576,604/1,238,460 = 1,238,460/x
  3. Step 3: Cross multiply
    576,604x = 1,238,460 × 1,238,460
  4. Step 4: Simplify right side
    576,604x = 1,533,783,171,600
  5. Step 5: Solve for x
    x = 1,533,783,171,600/576,604
  6. Step 6: Final answer
    x = 2,660,028.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.