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Finding the Third Proportional to 685,044 and 1,054,242

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Solution

The third proportional to 685,044 and 1,054,242 is: 1,622,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,044 : 1,054,242 = 1,054,242 : x
  2. Step 2: Convert to fraction form
    685,044/1,054,242 = 1,054,242/x
  3. Step 3: Cross multiply
    685,044x = 1,054,242 × 1,054,242
  4. Step 4: Simplify right side
    685,044x = 1,111,426,194,564
  5. Step 5: Solve for x
    x = 1,111,426,194,564/685,044
  6. Step 6: Final answer
    x = 1,622,415.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.