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Finding the Third Proportional to 4,502,400 and 6,438,000

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Solution

The third proportional to 4,502,400 and 6,438,000 is: 9,205,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502,400 : 6,438,000 = 6,438,000 : x
  2. Step 2: Convert to fraction form
    4,502,400/6,438,000 = 6,438,000/x
  3. Step 3: Cross multiply
    4,502,400x = 6,438,000 × 6,438,000
  4. Step 4: Simplify right side
    4,502,400x = 41,447,844,000,000
  5. Step 5: Solve for x
    x = 41,447,844,000,000/4,502,400
  6. Step 6: Final answer
    x = 9,205,722.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.