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Finding the Third Proportional to 647,784 and 1,423,104

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Solution

The third proportional to 647,784 and 1,423,104 is: 3,126,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,784 : 1,423,104 = 1,423,104 : x
  2. Step 2: Convert to fraction form
    647,784/1,423,104 = 1,423,104/x
  3. Step 3: Cross multiply
    647,784x = 1,423,104 × 1,423,104
  4. Step 4: Simplify right side
    647,784x = 2,025,224,994,816
  5. Step 5: Solve for x
    x = 2,025,224,994,816/647,784
  6. Step 6: Final answer
    x = 3,126,389.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.