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Finding the Third Proportional to 672,606 and 983,043

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Solution

The third proportional to 672,606 and 983,043 is: 1,436,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,606 : 983,043 = 983,043 : x
  2. Step 2: Convert to fraction form
    672,606/983,043 = 983,043/x
  3. Step 3: Cross multiply
    672,606x = 983,043 × 983,043
  4. Step 4: Simplify right side
    672,606x = 966,373,539,849
  5. Step 5: Solve for x
    x = 966,373,539,849/672,606
  6. Step 6: Final answer
    x = 1,436,760.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.