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Finding the Third Proportional to 712,648 and 1,484,256

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Solution

The third proportional to 712,648 and 1,484,256 is: 3,091,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,648 : 1,484,256 = 1,484,256 : x
  2. Step 2: Convert to fraction form
    712,648/1,484,256 = 1,484,256/x
  3. Step 3: Cross multiply
    712,648x = 1,484,256 × 1,484,256
  4. Step 4: Simplify right side
    712,648x = 2,203,015,873,536
  5. Step 5: Solve for x
    x = 2,203,015,873,536/712,648
  6. Step 6: Final answer
    x = 3,091,309.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.