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Finding the Third Proportional to 703,620 and 1,536,273

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Solution

The third proportional to 703,620 and 1,536,273 is: 3,354,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,620 : 1,536,273 = 1,536,273 : x
  2. Step 2: Convert to fraction form
    703,620/1,536,273 = 1,536,273/x
  3. Step 3: Cross multiply
    703,620x = 1,536,273 × 1,536,273
  4. Step 4: Simplify right side
    703,620x = 2,360,134,730,529
  5. Step 5: Solve for x
    x = 2,360,134,730,529/703,620
  6. Step 6: Final answer
    x = 3,354,274.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.