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Finding the Third Proportional to 378,812 and 841,708

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Solution

The third proportional to 378,812 and 841,708 is: 1,870,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,812 : 841,708 = 841,708 : x
  2. Step 2: Convert to fraction form
    378,812/841,708 = 841,708/x
  3. Step 3: Cross multiply
    378,812x = 841,708 × 841,708
  4. Step 4: Simplify right side
    378,812x = 708,472,357,264
  5. Step 5: Solve for x
    x = 708,472,357,264/378,812
  6. Step 6: Final answer
    x = 1,870,247.93

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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.