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Finding the Third Proportional to 503,864 and 1,106,024

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Solution

The third proportional to 503,864 and 1,106,024 is: 2,427,816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,864 : 1,106,024 = 1,106,024 : x
  2. Step 2: Convert to fraction form
    503,864/1,106,024 = 1,106,024/x
  3. Step 3: Cross multiply
    503,864x = 1,106,024 × 1,106,024
  4. Step 4: Simplify right side
    503,864x = 1,223,289,088,576
  5. Step 5: Solve for x
    x = 1,223,289,088,576/503,864
  6. Step 6: Final answer
    x = 2,427,816.01

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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.