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Finding the Third Proportional to 608,598 and 946,071

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Solution

The third proportional to 608,598 and 946,071 is: 1,470,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,598 : 946,071 = 946,071 : x
  2. Step 2: Convert to fraction form
    608,598/946,071 = 946,071/x
  3. Step 3: Cross multiply
    608,598x = 946,071 × 946,071
  4. Step 4: Simplify right side
    608,598x = 895,050,337,041
  5. Step 5: Solve for x
    x = 895,050,337,041/608,598
  6. Step 6: Final answer
    x = 1,470,675.78

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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.