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Finding the Third Proportional to 952,473 and 1,428,579

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Solution

The third proportional to 952,473 and 1,428,579 is: 2,142,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,473 : 1,428,579 = 1,428,579 : x
  2. Step 2: Convert to fraction form
    952,473/1,428,579 = 1,428,579/x
  3. Step 3: Cross multiply
    952,473x = 1,428,579 × 1,428,579
  4. Step 4: Simplify right side
    952,473x = 2,040,837,959,241
  5. Step 5: Solve for x
    x = 2,040,837,959,241/952,473
  6. Step 6: Final answer
    x = 2,142,672.77

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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.