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Finding the Third Proportional to 826,387.95 and 1,170,383.87

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Solution

The third proportional to 826,387.95 and 1,170,383.87 is: 1,657,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,387.95 : 1,170,383.87 = 1,170,383.87 : x
  2. Step 2: Convert to fraction form
    826,387.95/1,170,383.87 = 1,170,383.87/x
  3. Step 3: Cross multiply
    826,387.95x = 1,170,383.87 × 1,170,383.87
  4. Step 4: Simplify right side
    826,387.95x = 1,369,798,405,716.51
  5. Step 5: Solve for x
    x = 1,369,798,405,716.51/826,387.95
  6. Step 6: Final answer
    x = 1,657,573.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.