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Finding the Third Proportional to 611,784 and 1,341,756

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Solution

The third proportional to 611,784 and 1,341,756 is: 2,942,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,784 : 1,341,756 = 1,341,756 : x
  2. Step 2: Convert to fraction form
    611,784/1,341,756 = 1,341,756/x
  3. Step 3: Cross multiply
    611,784x = 1,341,756 × 1,341,756
  4. Step 4: Simplify right side
    611,784x = 1,800,309,163,536
  5. Step 5: Solve for x
    x = 1,800,309,163,536/611,784
  6. Step 6: Final answer
    x = 2,942,720.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.