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Finding the Third Proportional to 773,442 and 1,661,134.50

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Solution

The third proportional to 773,442 and 1,661,134.50 is: 3,567,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,442 : 1,661,134.50 = 1,661,134.50 : x
  2. Step 2: Convert to fraction form
    773,442/1,661,134.50 = 1,661,134.50/x
  3. Step 3: Cross multiply
    773,442x = 1,661,134.50 × 1,661,134.50
  4. Step 4: Simplify right side
    773,442x = 2,759,367,827,090.25
  5. Step 5: Solve for x
    x = 2,759,367,827,090.25/773,442
  6. Step 6: Final answer
    x = 3,567,646.74

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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.