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Finding the Third Proportional to 828,773 and 1,169,808

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Solution

The third proportional to 828,773 and 1,169,808 is: 1,651,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,773 : 1,169,808 = 1,169,808 : x
  2. Step 2: Convert to fraction form
    828,773/1,169,808 = 1,169,808/x
  3. Step 3: Cross multiply
    828,773x = 1,169,808 × 1,169,808
  4. Step 4: Simplify right side
    828,773x = 1,368,450,756,864
  5. Step 5: Solve for x
    x = 1,368,450,756,864/828,773
  6. Step 6: Final answer
    x = 1,651,176.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.