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Finding the Third Proportional to 608,877 and 946,454.63

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Solution

The third proportional to 608,877 and 946,454.63 is: 1,471,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,877 : 946,454.63 = 946,454.63 : x
  2. Step 2: Convert to fraction form
    608,877/946,454.63 = 946,454.63/x
  3. Step 3: Cross multiply
    608,877x = 946,454.63 × 946,454.63
  4. Step 4: Simplify right side
    608,877x = 895,776,357,183.89
  5. Step 5: Solve for x
    x = 895,776,357,183.89/608,877
  6. Step 6: Final answer
    x = 1,471,194.28

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