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Finding the Third Proportional to 568,232 and 1,225,024

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Solution

The third proportional to 568,232 and 1,225,024 is: 2,640,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,232 : 1,225,024 = 1,225,024 : x
  2. Step 2: Convert to fraction form
    568,232/1,225,024 = 1,225,024/x
  3. Step 3: Cross multiply
    568,232x = 1,225,024 × 1,225,024
  4. Step 4: Simplify right side
    568,232x = 1,500,683,800,576
  5. Step 5: Solve for x
    x = 1,500,683,800,576/568,232
  6. Step 6: Final answer
    x = 2,640,970.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.