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Finding the Third Proportional to 947,661 and 2,237,106

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Solution

The third proportional to 947,661 and 2,237,106 is: 5,281,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,661 : 2,237,106 = 2,237,106 : x
  2. Step 2: Convert to fraction form
    947,661/2,237,106 = 2,237,106/x
  3. Step 3: Cross multiply
    947,661x = 2,237,106 × 2,237,106
  4. Step 4: Simplify right side
    947,661x = 5,004,643,255,236
  5. Step 5: Solve for x
    x = 5,004,643,255,236/947,661
  6. Step 6: Final answer
    x = 5,281,048.03

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