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Finding the Third Proportional to 378,814 and 841,702

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Solution

The third proportional to 378,814 and 841,702 is: 1,870,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,814 : 841,702 = 841,702 : x
  2. Step 2: Convert to fraction form
    378,814/841,702 = 841,702/x
  3. Step 3: Cross multiply
    378,814x = 841,702 × 841,702
  4. Step 4: Simplify right side
    378,814x = 708,462,256,804
  5. Step 5: Solve for x
    x = 708,462,256,804/378,814
  6. Step 6: Final answer
    x = 1,870,211.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.