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Finding the Third Proportional to 608,754 and 946,288

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Solution

The third proportional to 608,754 and 946,288 is: 1,470,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,754 : 946,288 = 946,288 : x
  2. Step 2: Convert to fraction form
    608,754/946,288 = 946,288/x
  3. Step 3: Cross multiply
    608,754x = 946,288 × 946,288
  4. Step 4: Simplify right side
    608,754x = 895,460,978,944
  5. Step 5: Solve for x
    x = 895,460,978,944/608,754
  6. Step 6: Final answer
    x = 1,470,973.46

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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.