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Finding the Third Proportional to 608,818 and 969,603

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Solution

The third proportional to 608,818 and 969,603 is: 1,544,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,818 : 969,603 = 969,603 : x
  2. Step 2: Convert to fraction form
    608,818/969,603 = 969,603/x
  3. Step 3: Cross multiply
    608,818x = 969,603 × 969,603
  4. Step 4: Simplify right side
    608,818x = 940,129,977,609
  5. Step 5: Solve for x
    x = 940,129,977,609/608,818
  6. Step 6: Final answer
    x = 1,544,188.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.