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Finding the Third Proportional to 410,130 and 900,912

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Solution

The third proportional to 410,130 and 900,912 is: 1,978,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,130 : 900,912 = 900,912 : x
  2. Step 2: Convert to fraction form
    410,130/900,912 = 900,912/x
  3. Step 3: Cross multiply
    410,130x = 900,912 × 900,912
  4. Step 4: Simplify right side
    410,130x = 811,642,431,744
  5. Step 5: Solve for x
    x = 811,642,431,744/410,130
  6. Step 6: Final answer
    x = 1,978,988.20

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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.