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Finding the Third Proportional to 504,963 and 1,106,505

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Solution

The third proportional to 504,963 and 1,106,505 is: 2,424,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,963 : 1,106,505 = 1,106,505 : x
  2. Step 2: Convert to fraction form
    504,963/1,106,505 = 1,106,505/x
  3. Step 3: Cross multiply
    504,963x = 1,106,505 × 1,106,505
  4. Step 4: Simplify right side
    504,963x = 1,224,353,315,025
  5. Step 5: Solve for x
    x = 1,224,353,315,025/504,963
  6. Step 6: Final answer
    x = 2,424,639.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.