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Finding the Third Proportional to 488,385 and 1,014,201

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Solution

The third proportional to 488,385 and 1,014,201 is: 2,106,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,385 : 1,014,201 = 1,014,201 : x
  2. Step 2: Convert to fraction form
    488,385/1,014,201 = 1,014,201/x
  3. Step 3: Cross multiply
    488,385x = 1,014,201 × 1,014,201
  4. Step 4: Simplify right side
    488,385x = 1,028,603,668,401
  5. Step 5: Solve for x
    x = 1,028,603,668,401/488,385
  6. Step 6: Final answer
    x = 2,106,132.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.