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Finding the Third Proportional to 605,501 and 1,297,937

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Solution

The third proportional to 605,501 and 1,297,937 is: 2,782,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,501 : 1,297,937 = 1,297,937 : x
  2. Step 2: Convert to fraction form
    605,501/1,297,937 = 1,297,937/x
  3. Step 3: Cross multiply
    605,501x = 1,297,937 × 1,297,937
  4. Step 4: Simplify right side
    605,501x = 1,684,640,455,969
  5. Step 5: Solve for x
    x = 1,684,640,455,969/605,501
  6. Step 6: Final answer
    x = 2,782,225.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.