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Finding the Third Proportional to 442,787.63 and 917,080.88

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Solution

The third proportional to 442,787.63 and 917,080.88 is: 1,899,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,787.63 : 917,080.88 = 917,080.88 : x
  2. Step 2: Convert to fraction form
    442,787.63/917,080.88 = 917,080.88/x
  3. Step 3: Cross multiply
    442,787.63x = 917,080.88 × 917,080.88
  4. Step 4: Simplify right side
    442,787.63x = 841,037,331,290.77
  5. Step 5: Solve for x
    x = 841,037,331,290.77/442,787.63
  6. Step 6: Final answer
    x = 1,899,414.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.