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Finding the Third Proportional to 972,502.88 and 1,427,201.44

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Solution

The third proportional to 972,502.88 and 1,427,201.44 is: 2,094,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,502.88 : 1,427,201.44 = 1,427,201.44 : x
  2. Step 2: Convert to fraction form
    972,502.88/1,427,201.44 = 1,427,201.44/x
  3. Step 3: Cross multiply
    972,502.88x = 1,427,201.44 × 1,427,201.44
  4. Step 4: Simplify right side
    972,502.88x = 2,036,903,943,202.07
  5. Step 5: Solve for x
    x = 2,036,903,943,202.07/972,502.88
  6. Step 6: Final answer
    x = 2,094,496.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.