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Finding the Third Proportional to 567,584 and 1,223,752

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Solution

The third proportional to 567,584 and 1,223,752 is: 2,638,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,584 : 1,223,752 = 1,223,752 : x
  2. Step 2: Convert to fraction form
    567,584/1,223,752 = 1,223,752/x
  3. Step 3: Cross multiply
    567,584x = 1,223,752 × 1,223,752
  4. Step 4: Simplify right side
    567,584x = 1,497,568,957,504
  5. Step 5: Solve for x
    x = 1,497,568,957,504/567,584
  6. Step 6: Final answer
    x = 2,638,497.49

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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.