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Finding the Third Proportional to 972,236 and 1,521,678

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Solution

The third proportional to 972,236 and 1,521,678 is: 2,381,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,236 : 1,521,678 = 1,521,678 : x
  2. Step 2: Convert to fraction form
    972,236/1,521,678 = 1,521,678/x
  3. Step 3: Cross multiply
    972,236x = 1,521,678 × 1,521,678
  4. Step 4: Simplify right side
    972,236x = 2,315,503,935,684
  5. Step 5: Solve for x
    x = 2,315,503,935,684/972,236
  6. Step 6: Final answer
    x = 2,381,627.44

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.