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Finding the Third Proportional to 591,307 and 1,297,066

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Solution

The third proportional to 591,307 and 1,297,066 is: 2,845,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,307 : 1,297,066 = 1,297,066 : x
  2. Step 2: Convert to fraction form
    591,307/1,297,066 = 1,297,066/x
  3. Step 3: Cross multiply
    591,307x = 1,297,066 × 1,297,066
  4. Step 4: Simplify right side
    591,307x = 1,682,380,208,356
  5. Step 5: Solve for x
    x = 1,682,380,208,356/591,307
  6. Step 6: Final answer
    x = 2,845,189.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.