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Finding the Third Proportional to 916,400 and 1,974,726

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Solution

The third proportional to 916,400 and 1,974,726 is: 4,255,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,400 : 1,974,726 = 1,974,726 : x
  2. Step 2: Convert to fraction form
    916,400/1,974,726 = 1,974,726/x
  3. Step 3: Cross multiply
    916,400x = 1,974,726 × 1,974,726
  4. Step 4: Simplify right side
    916,400x = 3,899,542,775,076
  5. Step 5: Solve for x
    x = 3,899,542,775,076/916,400
  6. Step 6: Final answer
    x = 4,255,284.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.