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Finding the Third Proportional to 818,512 and 1,734,368

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Solution

The third proportional to 818,512 and 1,734,368 is: 3,675,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,512 : 1,734,368 = 1,734,368 : x
  2. Step 2: Convert to fraction form
    818,512/1,734,368 = 1,734,368/x
  3. Step 3: Cross multiply
    818,512x = 1,734,368 × 1,734,368
  4. Step 4: Simplify right side
    818,512x = 3,008,032,359,424
  5. Step 5: Solve for x
    x = 3,008,032,359,424/818,512
  6. Step 6: Final answer
    x = 3,675,000.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.