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Finding the Third Proportional to 507,465 and 1,102,401

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Solution

The third proportional to 507,465 and 1,102,401 is: 2,394,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,465 : 1,102,401 = 1,102,401 : x
  2. Step 2: Convert to fraction form
    507,465/1,102,401 = 1,102,401/x
  3. Step 3: Cross multiply
    507,465x = 1,102,401 × 1,102,401
  4. Step 4: Simplify right side
    507,465x = 1,215,287,964,801
  5. Step 5: Solve for x
    x = 1,215,287,964,801/507,465
  6. Step 6: Final answer
    x = 2,394,821.25

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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.