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Finding the Third Proportional to 828,786 and 1,169,829

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Solution

The third proportional to 828,786 and 1,169,829 is: 1,651,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,786 : 1,169,829 = 1,169,829 : x
  2. Step 2: Convert to fraction form
    828,786/1,169,829 = 1,169,829/x
  3. Step 3: Cross multiply
    828,786x = 1,169,829 × 1,169,829
  4. Step 4: Simplify right side
    828,786x = 1,368,499,889,241
  5. Step 5: Solve for x
    x = 1,368,499,889,241/828,786
  6. Step 6: Final answer
    x = 1,651,210.19

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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.