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Finding the Third Proportional to 491,801.63 and 1,059,054.75

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Solution

The third proportional to 491,801.63 and 1,059,054.75 is: 2,280,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,801.63 : 1,059,054.75 = 1,059,054.75 : x
  2. Step 2: Convert to fraction form
    491,801.63/1,059,054.75 = 1,059,054.75/x
  3. Step 3: Cross multiply
    491,801.63x = 1,059,054.75 × 1,059,054.75
  4. Step 4: Simplify right side
    491,801.63x = 1,121,596,963,497.56
  5. Step 5: Solve for x
    x = 1,121,596,963,497.56/491,801.63
  6. Step 6: Final answer
    x = 2,280,588.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.