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Finding the Third Proportional to 501,414 and 1,102,044

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Solution

The third proportional to 501,414 and 1,102,044 is: 2,422,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,414 : 1,102,044 = 1,102,044 : x
  2. Step 2: Convert to fraction form
    501,414/1,102,044 = 1,102,044/x
  3. Step 3: Cross multiply
    501,414x = 1,102,044 × 1,102,044
  4. Step 4: Simplify right side
    501,414x = 1,214,500,977,936
  5. Step 5: Solve for x
    x = 1,214,500,977,936/501,414
  6. Step 6: Final answer
    x = 2,422,152.11

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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.