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Finding the Third Proportional to 898,809 and 1,366,614

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Solution

The third proportional to 898,809 and 1,366,614 is: 2,077,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,809 : 1,366,614 = 1,366,614 : x
  2. Step 2: Convert to fraction form
    898,809/1,366,614 = 1,366,614/x
  3. Step 3: Cross multiply
    898,809x = 1,366,614 × 1,366,614
  4. Step 4: Simplify right side
    898,809x = 1,867,633,824,996
  5. Step 5: Solve for x
    x = 1,867,633,824,996/898,809
  6. Step 6: Final answer
    x = 2,077,898.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.