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Finding the Third Proportional to 610,608 and 894,036

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Solution

The third proportional to 610,608 and 894,036 is: 1,309,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,608 : 894,036 = 894,036 : x
  2. Step 2: Convert to fraction form
    610,608/894,036 = 894,036/x
  3. Step 3: Cross multiply
    610,608x = 894,036 × 894,036
  4. Step 4: Simplify right side
    610,608x = 799,300,369,296
  5. Step 5: Solve for x
    x = 799,300,369,296/610,608
  6. Step 6: Final answer
    x = 1,309,023.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.