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Finding the Third Proportional to 828,176 and 1,243,141

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Solution

The third proportional to 828,176 and 1,243,141 is: 1,866,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,176 : 1,243,141 = 1,243,141 : x
  2. Step 2: Convert to fraction form
    828,176/1,243,141 = 1,243,141/x
  3. Step 3: Cross multiply
    828,176x = 1,243,141 × 1,243,141
  4. Step 4: Simplify right side
    828,176x = 1,545,399,545,881
  5. Step 5: Solve for x
    x = 1,545,399,545,881/828,176
  6. Step 6: Final answer
    x = 1,866,027.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.