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Finding the Third Proportional to 905,076 and 1,341,957

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Solution

The third proportional to 905,076 and 1,341,957 is: 1,989,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,076 : 1,341,957 = 1,341,957 : x
  2. Step 2: Convert to fraction form
    905,076/1,341,957 = 1,341,957/x
  3. Step 3: Cross multiply
    905,076x = 1,341,957 × 1,341,957
  4. Step 4: Simplify right side
    905,076x = 1,800,848,589,849
  5. Step 5: Solve for x
    x = 1,800,848,589,849/905,076
  6. Step 6: Final answer
    x = 1,989,720.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.