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Finding the Third Proportional to 423,498 and 881,844

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Solution

The third proportional to 423,498 and 881,844 is: 1,836,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,498 : 881,844 = 881,844 : x
  2. Step 2: Convert to fraction form
    423,498/881,844 = 881,844/x
  3. Step 3: Cross multiply
    423,498x = 881,844 × 881,844
  4. Step 4: Simplify right side
    423,498x = 777,648,840,336
  5. Step 5: Solve for x
    x = 777,648,840,336/423,498
  6. Step 6: Final answer
    x = 1,836,251.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.