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Finding the Third Proportional to 842,247 and 1,826,365

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Solution

The third proportional to 842,247 and 1,826,365 is: 3,960,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,247 : 1,826,365 = 1,826,365 : x
  2. Step 2: Convert to fraction form
    842,247/1,826,365 = 1,826,365/x
  3. Step 3: Cross multiply
    842,247x = 1,826,365 × 1,826,365
  4. Step 4: Simplify right side
    842,247x = 3,335,609,113,225
  5. Step 5: Solve for x
    x = 3,335,609,113,225/842,247
  6. Step 6: Final answer
    x = 3,960,369.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.