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Finding the Third Proportional to 784,689 and 1,110,642

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Solution

The third proportional to 784,689 and 1,110,642 is: 1,571,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,689 : 1,110,642 = 1,110,642 : x
  2. Step 2: Convert to fraction form
    784,689/1,110,642 = 1,110,642/x
  3. Step 3: Cross multiply
    784,689x = 1,110,642 × 1,110,642
  4. Step 4: Simplify right side
    784,689x = 1,233,525,652,164
  5. Step 5: Solve for x
    x = 1,233,525,652,164/784,689
  6. Step 6: Final answer
    x = 1,571,993.05

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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.