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Finding the Third Proportional to 425,106 and 651,051

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Solution

The third proportional to 425,106 and 651,051 is: 997,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,106 : 651,051 = 651,051 : x
  2. Step 2: Convert to fraction form
    425,106/651,051 = 651,051/x
  3. Step 3: Cross multiply
    425,106x = 651,051 × 651,051
  4. Step 4: Simplify right side
    425,106x = 423,867,404,601
  5. Step 5: Solve for x
    x = 423,867,404,601/425,106
  6. Step 6: Final answer
    x = 997,086.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.