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Finding the Third Proportional to 407,511 and 895,698

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Solution

The third proportional to 407,511 and 895,698 is: 1,968,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,511 : 895,698 = 895,698 : x
  2. Step 2: Convert to fraction form
    407,511/895,698 = 895,698/x
  3. Step 3: Cross multiply
    407,511x = 895,698 × 895,698
  4. Step 4: Simplify right side
    407,511x = 802,274,907,204
  5. Step 5: Solve for x
    x = 802,274,907,204/407,511
  6. Step 6: Final answer
    x = 1,968,719.64

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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.