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Finding the Third Proportional to 395,427 and 869,574

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Solution

The third proportional to 395,427 and 869,574 is: 1,912,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,427 : 869,574 = 869,574 : x
  2. Step 2: Convert to fraction form
    395,427/869,574 = 869,574/x
  3. Step 3: Cross multiply
    395,427x = 869,574 × 869,574
  4. Step 4: Simplify right side
    395,427x = 756,158,941,476
  5. Step 5: Solve for x
    x = 756,158,941,476/395,427
  6. Step 6: Final answer
    x = 1,912,259.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.