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Finding the Third Proportional to 870,714.75 and 1,846,783.88

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Solution

The third proportional to 870,714.75 and 1,846,783.88 is: 3,917,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,714.75 : 1,846,783.88 = 1,846,783.88 : x
  2. Step 2: Convert to fraction form
    870,714.75/1,846,783.88 = 1,846,783.88/x
  3. Step 3: Cross multiply
    870,714.75x = 1,846,783.88 × 1,846,783.88
  4. Step 4: Simplify right side
    870,714.75x = 3,410,610,680,960.02
  5. Step 5: Solve for x
    x = 3,410,610,680,960.02/870,714.75
  6. Step 6: Final answer
    x = 3,917,024.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.