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Finding the Third Proportional to 898,917 and 1,931,237.63

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Solution

The third proportional to 898,917 and 1,931,237.63 is: 4,149,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,917 : 1,931,237.63 = 1,931,237.63 : x
  2. Step 2: Convert to fraction form
    898,917/1,931,237.63 = 1,931,237.63/x
  3. Step 3: Cross multiply
    898,917x = 1,931,237.63 × 1,931,237.63
  4. Step 4: Simplify right side
    898,917x = 3,729,678,764,215.64
  5. Step 5: Solve for x
    x = 3,729,678,764,215.64/898,917
  6. Step 6: Final answer
    x = 4,149,080.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.