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Finding the Third Proportional to 536,532 and 1,137,024

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Solution

The third proportional to 536,532 and 1,137,024 is: 2,409,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,532 : 1,137,024 = 1,137,024 : x
  2. Step 2: Convert to fraction form
    536,532/1,137,024 = 1,137,024/x
  3. Step 3: Cross multiply
    536,532x = 1,137,024 × 1,137,024
  4. Step 4: Simplify right side
    536,532x = 1,292,823,576,576
  5. Step 5: Solve for x
    x = 1,292,823,576,576/536,532
  6. Step 6: Final answer
    x = 2,409,592.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.