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Finding the Third Proportional to 501,408 and 1,102,320

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Solution

The third proportional to 501,408 and 1,102,320 is: 2,423,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,408 : 1,102,320 = 1,102,320 : x
  2. Step 2: Convert to fraction form
    501,408/1,102,320 = 1,102,320/x
  3. Step 3: Cross multiply
    501,408x = 1,102,320 × 1,102,320
  4. Step 4: Simplify right side
    501,408x = 1,215,109,382,400
  5. Step 5: Solve for x
    x = 1,215,109,382,400/501,408
  6. Step 6: Final answer
    x = 2,423,394.49

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