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Finding the Third Proportional to 712,638 and 1,484,244

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Solution

The third proportional to 712,638 and 1,484,244 is: 3,091,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,638 : 1,484,244 = 1,484,244 : x
  2. Step 2: Convert to fraction form
    712,638/1,484,244 = 1,484,244/x
  3. Step 3: Cross multiply
    712,638x = 1,484,244 × 1,484,244
  4. Step 4: Simplify right side
    712,638x = 2,202,980,251,536
  5. Step 5: Solve for x
    x = 2,202,980,251,536/712,638
  6. Step 6: Final answer
    x = 3,091,303.37

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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.