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Finding the Third Proportional to 785,619 and 1,674,270

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Solution

The third proportional to 785,619 and 1,674,270 is: 3,568,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,619 : 1,674,270 = 1,674,270 : x
  2. Step 2: Convert to fraction form
    785,619/1,674,270 = 1,674,270/x
  3. Step 3: Cross multiply
    785,619x = 1,674,270 × 1,674,270
  4. Step 4: Simplify right side
    785,619x = 2,803,180,032,900
  5. Step 5: Solve for x
    x = 2,803,180,032,900/785,619
  6. Step 6: Final answer
    x = 3,568,116.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.