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Finding the Third Proportional to 634,477 and 1,373,498

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Solution

The third proportional to 634,477 and 1,373,498 is: 2,973,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,477 : 1,373,498 = 1,373,498 : x
  2. Step 2: Convert to fraction form
    634,477/1,373,498 = 1,373,498/x
  3. Step 3: Cross multiply
    634,477x = 1,373,498 × 1,373,498
  4. Step 4: Simplify right side
    634,477x = 1,886,496,756,004
  5. Step 5: Solve for x
    x = 1,886,496,756,004/634,477
  6. Step 6: Final answer
    x = 2,973,309.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.