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Finding the Third Proportional to 637,686 and 976,617

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Solution

The third proportional to 637,686 and 976,617 is: 1,495,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,686 : 976,617 = 976,617 : x
  2. Step 2: Convert to fraction form
    637,686/976,617 = 976,617/x
  3. Step 3: Cross multiply
    637,686x = 976,617 × 976,617
  4. Step 4: Simplify right side
    637,686x = 953,780,764,689
  5. Step 5: Solve for x
    x = 953,780,764,689/637,686
  6. Step 6: Final answer
    x = 1,495,690.30

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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.