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Finding the Third Proportional to 925,184 and 1,972,516

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Solution

The third proportional to 925,184 and 1,972,516 is: 4,205,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,184 : 1,972,516 = 1,972,516 : x
  2. Step 2: Convert to fraction form
    925,184/1,972,516 = 1,972,516/x
  3. Step 3: Cross multiply
    925,184x = 1,972,516 × 1,972,516
  4. Step 4: Simplify right side
    925,184x = 3,890,819,370,256
  5. Step 5: Solve for x
    x = 3,890,819,370,256/925,184
  6. Step 6: Final answer
    x = 4,205,454.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.