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Finding the Third Proportional to 626,614 and 954,633

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Solution

The third proportional to 626,614 and 954,633 is: 1,454,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,614 : 954,633 = 954,633 : x
  2. Step 2: Convert to fraction form
    626,614/954,633 = 954,633/x
  3. Step 3: Cross multiply
    626,614x = 954,633 × 954,633
  4. Step 4: Simplify right side
    626,614x = 911,324,164,689
  5. Step 5: Solve for x
    x = 911,324,164,689/626,614
  6. Step 6: Final answer
    x = 1,454,362.92

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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.