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Finding the Third Proportional to 884,536 and 1,325,413

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Solution

The third proportional to 884,536 and 1,325,413 is: 1,986,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,536 : 1,325,413 = 1,325,413 : x
  2. Step 2: Convert to fraction form
    884,536/1,325,413 = 1,325,413/x
  3. Step 3: Cross multiply
    884,536x = 1,325,413 × 1,325,413
  4. Step 4: Simplify right side
    884,536x = 1,756,719,620,569
  5. Step 5: Solve for x
    x = 1,756,719,620,569/884,536
  6. Step 6: Final answer
    x = 1,986,035.19

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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.