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Finding the Third Proportional to 714,840.82 and 1,573,613.58

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Solution

The third proportional to 714,840.82 and 1,573,613.58 is: 3,464,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,840.82 : 1,573,613.58 = 1,573,613.58 : x
  2. Step 2: Convert to fraction form
    714,840.82/1,573,613.58 = 1,573,613.58/x
  3. Step 3: Cross multiply
    714,840.82x = 1,573,613.58 × 1,573,613.58
  4. Step 4: Simplify right side
    714,840.82x = 2,476,259,693,259.37
  5. Step 5: Solve for x
    x = 2,476,259,693,259.37/714,840.82
  6. Step 6: Final answer
    x = 3,464,071.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.