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Finding the Third Proportional to 404,768 and 891,034

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Solution

The third proportional to 404,768 and 891,034 is: 1,961,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,768 : 891,034 = 891,034 : x
  2. Step 2: Convert to fraction form
    404,768/891,034 = 891,034/x
  3. Step 3: Cross multiply
    404,768x = 891,034 × 891,034
  4. Step 4: Simplify right side
    404,768x = 793,941,589,156
  5. Step 5: Solve for x
    x = 793,941,589,156/404,768
  6. Step 6: Final answer
    x = 1,961,473.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.