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Finding the Third Proportional to 898,296.75 and 1,351,090.13

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Solution

The third proportional to 898,296.75 and 1,351,090.13 is: 2,032,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,296.75 : 1,351,090.13 = 1,351,090.13 : x
  2. Step 2: Convert to fraction form
    898,296.75/1,351,090.13 = 1,351,090.13/x
  3. Step 3: Cross multiply
    898,296.75x = 1,351,090.13 × 1,351,090.13
  4. Step 4: Simplify right side
    898,296.75x = 1,825,444,525,872.52
  5. Step 5: Solve for x
    x = 1,825,444,525,872.52/898,296.75
  6. Step 6: Final answer
    x = 2,032,117.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.