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Finding the Third Proportional to 634,367 and 1,373,913

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Solution

The third proportional to 634,367 and 1,373,913 is: 2,975,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,367 : 1,373,913 = 1,373,913 : x
  2. Step 2: Convert to fraction form
    634,367/1,373,913 = 1,373,913/x
  3. Step 3: Cross multiply
    634,367x = 1,373,913 × 1,373,913
  4. Step 4: Simplify right side
    634,367x = 1,887,636,931,569
  5. Step 5: Solve for x
    x = 1,887,636,931,569/634,367
  6. Step 6: Final answer
    x = 2,975,622.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.