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Finding the Third Proportional to 563,336 and 1,223,824

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Solution

The third proportional to 563,336 and 1,223,824 is: 2,658,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,336 : 1,223,824 = 1,223,824 : x
  2. Step 2: Convert to fraction form
    563,336/1,223,824 = 1,223,824/x
  3. Step 3: Cross multiply
    563,336x = 1,223,824 × 1,223,824
  4. Step 4: Simplify right side
    563,336x = 1,497,745,182,976
  5. Step 5: Solve for x
    x = 1,497,745,182,976/563,336
  6. Step 6: Final answer
    x = 2,658,706.67

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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.