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Finding the Third Proportional to 923,157 and 1,354,782

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Solution

The third proportional to 923,157 and 1,354,782 is: 1,988,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,157 : 1,354,782 = 1,354,782 : x
  2. Step 2: Convert to fraction form
    923,157/1,354,782 = 1,354,782/x
  3. Step 3: Cross multiply
    923,157x = 1,354,782 × 1,354,782
  4. Step 4: Simplify right side
    923,157x = 1,835,434,267,524
  5. Step 5: Solve for x
    x = 1,835,434,267,524/923,157
  6. Step 6: Final answer
    x = 1,988,214.65

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