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Finding the Third Proportional to 484,024 and 1,052,024

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Solution

The third proportional to 484,024 and 1,052,024 is: 2,286,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,024 : 1,052,024 = 1,052,024 : x
  2. Step 2: Convert to fraction form
    484,024/1,052,024 = 1,052,024/x
  3. Step 3: Cross multiply
    484,024x = 1,052,024 × 1,052,024
  4. Step 4: Simplify right side
    484,024x = 1,106,754,496,576
  5. Step 5: Solve for x
    x = 1,106,754,496,576/484,024
  6. Step 6: Final answer
    x = 2,286,569.46

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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.