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Finding the Third Proportional to 897,925 and 1,952,954

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Solution

The third proportional to 897,925 and 1,952,954 is: 4,247,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,925 : 1,952,954 = 1,952,954 : x
  2. Step 2: Convert to fraction form
    897,925/1,952,954 = 1,952,954/x
  3. Step 3: Cross multiply
    897,925x = 1,952,954 × 1,952,954
  4. Step 4: Simplify right side
    897,925x = 3,814,029,326,116
  5. Step 5: Solve for x
    x = 3,814,029,326,116/897,925
  6. Step 6: Final answer
    x = 4,247,603.45

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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.