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Finding the Third Proportional to 678,550 and 1,033,744

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Solution

The third proportional to 678,550 and 1,033,744 is: 1,574,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,550 : 1,033,744 = 1,033,744 : x
  2. Step 2: Convert to fraction form
    678,550/1,033,744 = 1,033,744/x
  3. Step 3: Cross multiply
    678,550x = 1,033,744 × 1,033,744
  4. Step 4: Simplify right side
    678,550x = 1,068,626,657,536
  5. Step 5: Solve for x
    x = 1,068,626,657,536/678,550
  6. Step 6: Final answer
    x = 1,574,867.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.