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Finding the Third Proportional to 672,586 and 1,028,582

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Solution

The third proportional to 672,586 and 1,028,582 is: 1,573,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,586 : 1,028,582 = 1,028,582 : x
  2. Step 2: Convert to fraction form
    672,586/1,028,582 = 1,028,582/x
  3. Step 3: Cross multiply
    672,586x = 1,028,582 × 1,028,582
  4. Step 4: Simplify right side
    672,586x = 1,057,980,930,724
  5. Step 5: Solve for x
    x = 1,057,980,930,724/672,586
  6. Step 6: Final answer
    x = 1,573,004.69

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