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Finding the Third Proportional to 758,076.47 and 1,642,195.69

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Solution

The third proportional to 758,076.47 and 1,642,195.69 is: 3,557,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,076.47 : 1,642,195.69 = 1,642,195.69 : x
  2. Step 2: Convert to fraction form
    758,076.47/1,642,195.69 = 1,642,195.69/x
  3. Step 3: Cross multiply
    758,076.47x = 1,642,195.69 × 1,642,195.69
  4. Step 4: Simplify right side
    758,076.47x = 2,696,806,676,043.60
  5. Step 5: Solve for x
    x = 2,696,806,676,043.60/758,076.47
  6. Step 6: Final answer
    x = 3,557,433.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.