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Finding the Third Proportional to 947,668 and 2,237,119

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Solution

The third proportional to 947,668 and 2,237,119 is: 5,281,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,668 : 2,237,119 = 2,237,119 : x
  2. Step 2: Convert to fraction form
    947,668/2,237,119 = 2,237,119/x
  3. Step 3: Cross multiply
    947,668x = 2,237,119 × 2,237,119
  4. Step 4: Simplify right side
    947,668x = 5,004,701,420,161
  5. Step 5: Solve for x
    x = 5,004,701,420,161/947,668
  6. Step 6: Final answer
    x = 5,281,070.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.