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Finding the Third Proportional to 828,121.50 and 1,254,606.75

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Solution

The third proportional to 828,121.50 and 1,254,606.75 is: 1,900,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,121.50 : 1,254,606.75 = 1,254,606.75 : x
  2. Step 2: Convert to fraction form
    828,121.50/1,254,606.75 = 1,254,606.75/x
  3. Step 3: Cross multiply
    828,121.50x = 1,254,606.75 × 1,254,606.75
  4. Step 4: Simplify right side
    828,121.50x = 1,574,038,097,145.56
  5. Step 5: Solve for x
    x = 1,574,038,097,145.56/828,121.50
  6. Step 6: Final answer
    x = 1,900,733.28

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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.