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Finding the Third Proportional to 876,864 and 1,884,266

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Solution

The third proportional to 876,864 and 1,884,266 is: 4,049,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,864 : 1,884,266 = 1,884,266 : x
  2. Step 2: Convert to fraction form
    876,864/1,884,266 = 1,884,266/x
  3. Step 3: Cross multiply
    876,864x = 1,884,266 × 1,884,266
  4. Step 4: Simplify right side
    876,864x = 3,550,458,358,756
  5. Step 5: Solve for x
    x = 3,550,458,358,756/876,864
  6. Step 6: Final answer
    x = 4,049,041.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.