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Finding the Third Proportional to 624,543 and 1,343,814

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Solution

The third proportional to 624,543 and 1,343,814 is: 2,891,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,543 : 1,343,814 = 1,343,814 : x
  2. Step 2: Convert to fraction form
    624,543/1,343,814 = 1,343,814/x
  3. Step 3: Cross multiply
    624,543x = 1,343,814 × 1,343,814
  4. Step 4: Simplify right side
    624,543x = 1,805,836,066,596
  5. Step 5: Solve for x
    x = 1,805,836,066,596/624,543
  6. Step 6: Final answer
    x = 2,891,451.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.