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Finding the Third Proportional to 636,440.63 and 1,384,964.16

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Solution

The third proportional to 636,440.63 and 1,384,964.16 is: 3,013,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,440.63 : 1,384,964.16 = 1,384,964.16 : x
  2. Step 2: Convert to fraction form
    636,440.63/1,384,964.16 = 1,384,964.16/x
  3. Step 3: Cross multiply
    636,440.63x = 1,384,964.16 × 1,384,964.16
  4. Step 4: Simplify right side
    636,440.63x = 1,918,125,714,097.27
  5. Step 5: Solve for x
    x = 1,918,125,714,097.27/636,440.63
  6. Step 6: Final answer
    x = 3,013,832.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.