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Finding the Third Proportional to 620,590 and 964,898

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Solution

The third proportional to 620,590 and 964,898 is: 1,500,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,590 : 964,898 = 964,898 : x
  2. Step 2: Convert to fraction form
    620,590/964,898 = 964,898/x
  3. Step 3: Cross multiply
    620,590x = 964,898 × 964,898
  4. Step 4: Simplify right side
    620,590x = 931,028,150,404
  5. Step 5: Solve for x
    x = 931,028,150,404/620,590
  6. Step 6: Final answer
    x = 1,500,230.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.