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Finding the Third Proportional to 560,404 and 1,203,752

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Solution

The third proportional to 560,404 and 1,203,752 is: 2,585,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,404 : 1,203,752 = 1,203,752 : x
  2. Step 2: Convert to fraction form
    560,404/1,203,752 = 1,203,752/x
  3. Step 3: Cross multiply
    560,404x = 1,203,752 × 1,203,752
  4. Step 4: Simplify right side
    560,404x = 1,449,018,877,504
  5. Step 5: Solve for x
    x = 1,449,018,877,504/560,404
  6. Step 6: Final answer
    x = 2,585,668.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.