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Finding the Third Proportional to 685,862 and 925,194

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Solution

The third proportional to 685,862 and 925,194 is: 1,248,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,862 : 925,194 = 925,194 : x
  2. Step 2: Convert to fraction form
    685,862/925,194 = 925,194/x
  3. Step 3: Cross multiply
    685,862x = 925,194 × 925,194
  4. Step 4: Simplify right side
    685,862x = 855,983,937,636
  5. Step 5: Solve for x
    x = 855,983,937,636/685,862
  6. Step 6: Final answer
    x = 1,248,041.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.