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Finding the Third Proportional to 407,514 and 895,704

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Solution

The third proportional to 407,514 and 895,704 is: 1,968,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,514 : 895,704 = 895,704 : x
  2. Step 2: Convert to fraction form
    407,514/895,704 = 895,704/x
  3. Step 3: Cross multiply
    407,514x = 895,704 × 895,704
  4. Step 4: Simplify right side
    407,514x = 802,285,655,616
  5. Step 5: Solve for x
    x = 802,285,655,616/407,514
  6. Step 6: Final answer
    x = 1,968,731.52

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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.