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Finding the Third Proportional to 723,216 and 1,555,275

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Solution

The third proportional to 723,216 and 1,555,275 is: 3,344,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,216 : 1,555,275 = 1,555,275 : x
  2. Step 2: Convert to fraction form
    723,216/1,555,275 = 1,555,275/x
  3. Step 3: Cross multiply
    723,216x = 1,555,275 × 1,555,275
  4. Step 4: Simplify right side
    723,216x = 2,418,880,325,625
  5. Step 5: Solve for x
    x = 2,418,880,325,625/723,216
  6. Step 6: Final answer
    x = 3,344,616.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.