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Finding the Third Proportional to 784,673 and 1,110,617

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Solution

The third proportional to 784,673 and 1,110,617 is: 1,571,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,673 : 1,110,617 = 1,110,617 : x
  2. Step 2: Convert to fraction form
    784,673/1,110,617 = 1,110,617/x
  3. Step 3: Cross multiply
    784,673x = 1,110,617 × 1,110,617
  4. Step 4: Simplify right side
    784,673x = 1,233,470,120,689
  5. Step 5: Solve for x
    x = 1,233,470,120,689/784,673
  6. Step 6: Final answer
    x = 1,571,954.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.