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Finding the Third Proportional to 378,798 and 841,674

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Solution

The third proportional to 378,798 and 841,674 is: 1,870,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,798 : 841,674 = 841,674 : x
  2. Step 2: Convert to fraction form
    378,798/841,674 = 841,674/x
  3. Step 3: Cross multiply
    378,798x = 841,674 × 841,674
  4. Step 4: Simplify right side
    378,798x = 708,415,122,276
  5. Step 5: Solve for x
    x = 708,415,122,276/378,798
  6. Step 6: Final answer
    x = 1,870,165.95

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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.