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Finding the Third Proportional to 496,178 and 1,034,340

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Solution

The third proportional to 496,178 and 1,034,340 is: 2,156,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,178 : 1,034,340 = 1,034,340 : x
  2. Step 2: Convert to fraction form
    496,178/1,034,340 = 1,034,340/x
  3. Step 3: Cross multiply
    496,178x = 1,034,340 × 1,034,340
  4. Step 4: Simplify right side
    496,178x = 1,069,859,235,600
  5. Step 5: Solve for x
    x = 1,069,859,235,600/496,178
  6. Step 6: Final answer
    x = 2,156,200.47

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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.