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Finding the Third Proportional to 488,092 and 895,184

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Solution

The third proportional to 488,092 and 895,184 is: 1,641,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,092 : 895,184 = 895,184 : x
  2. Step 2: Convert to fraction form
    488,092/895,184 = 895,184/x
  3. Step 3: Cross multiply
    488,092x = 895,184 × 895,184
  4. Step 4: Simplify right side
    488,092x = 801,354,393,856
  5. Step 5: Solve for x
    x = 801,354,393,856/488,092
  6. Step 6: Final answer
    x = 1,641,810.14

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.