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Finding the Third Proportional to 828,788 and 1,169,832

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Solution

The third proportional to 828,788 and 1,169,832 is: 1,651,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,788 : 1,169,832 = 1,169,832 : x
  2. Step 2: Convert to fraction form
    828,788/1,169,832 = 1,169,832/x
  3. Step 3: Cross multiply
    828,788x = 1,169,832 × 1,169,832
  4. Step 4: Simplify right side
    828,788x = 1,368,506,908,224
  5. Step 5: Solve for x
    x = 1,368,506,908,224/828,788
  6. Step 6: Final answer
    x = 1,651,214.68

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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.