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Finding the Third Proportional to 828,184 and 1,243,154

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Solution

The third proportional to 828,184 and 1,243,154 is: 1,866,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,184 : 1,243,154 = 1,243,154 : x
  2. Step 2: Convert to fraction form
    828,184/1,243,154 = 1,243,154/x
  3. Step 3: Cross multiply
    828,184x = 1,243,154 × 1,243,154
  4. Step 4: Simplify right side
    828,184x = 1,545,431,867,716
  5. Step 5: Solve for x
    x = 1,545,431,867,716/828,184
  6. Step 6: Final answer
    x = 1,866,048.93

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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.