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Finding the Third Proportional to 641,501 and 896,856

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Solution

The third proportional to 641,501 and 896,856 is: 1,253,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,501 : 896,856 = 896,856 : x
  2. Step 2: Convert to fraction form
    641,501/896,856 = 896,856/x
  3. Step 3: Cross multiply
    641,501x = 896,856 × 896,856
  4. Step 4: Simplify right side
    641,501x = 804,350,684,736
  5. Step 5: Solve for x
    x = 804,350,684,736/641,501
  6. Step 6: Final answer
    x = 1,253,857.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.