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Finding the Third Proportional to 595,508 and 1,297,912

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Solution

The third proportional to 595,508 and 1,297,912 is: 2,828,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,508 : 1,297,912 = 1,297,912 : x
  2. Step 2: Convert to fraction form
    595,508/1,297,912 = 1,297,912/x
  3. Step 3: Cross multiply
    595,508x = 1,297,912 × 1,297,912
  4. Step 4: Simplify right side
    595,508x = 1,684,575,559,744
  5. Step 5: Solve for x
    x = 1,684,575,559,744/595,508
  6. Step 6: Final answer
    x = 2,828,804.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.