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Finding the Third Proportional to 1,247,242 and 1,824,207

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Solution

The third proportional to 1,247,242 and 1,824,207 is: 2,668,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,242 : 1,824,207 = 1,824,207 : x
  2. Step 2: Convert to fraction form
    1,247,242/1,824,207 = 1,824,207/x
  3. Step 3: Cross multiply
    1,247,242x = 1,824,207 × 1,824,207
  4. Step 4: Simplify right side
    1,247,242x = 3,327,731,178,849
  5. Step 5: Solve for x
    x = 3,327,731,178,849/1,247,242
  6. Step 6: Final answer
    x = 2,668,071.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.