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Finding the Third Proportional to 378,816 and 841,714

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Solution

The third proportional to 378,816 and 841,714 is: 1,870,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,816 : 841,714 = 841,714 : x
  2. Step 2: Convert to fraction form
    378,816/841,714 = 841,714/x
  3. Step 3: Cross multiply
    378,816x = 841,714 × 841,714
  4. Step 4: Simplify right side
    378,816x = 708,482,457,796
  5. Step 5: Solve for x
    x = 708,482,457,796/378,816
  6. Step 6: Final answer
    x = 1,870,254.84

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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.