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Finding the Third Proportional to 877,538 and 1,899,000

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Solution

The third proportional to 877,538 and 1,899,000 is: 4,109,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,538 : 1,899,000 = 1,899,000 : x
  2. Step 2: Convert to fraction form
    877,538/1,899,000 = 1,899,000/x
  3. Step 3: Cross multiply
    877,538x = 1,899,000 × 1,899,000
  4. Step 4: Simplify right side
    877,538x = 3,606,201,000,000
  5. Step 5: Solve for x
    x = 3,606,201,000,000/877,538
  6. Step 6: Final answer
    x = 4,109,452.81

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