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Finding the Third Proportional to 433,862 and 888,864

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Solution

The third proportional to 433,862 and 888,864 is: 1,821,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,862 : 888,864 = 888,864 : x
  2. Step 2: Convert to fraction form
    433,862/888,864 = 888,864/x
  3. Step 3: Cross multiply
    433,862x = 888,864 × 888,864
  4. Step 4: Simplify right side
    433,862x = 790,079,210,496
  5. Step 5: Solve for x
    x = 790,079,210,496/433,862
  6. Step 6: Final answer
    x = 1,821,038.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.