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Finding the Third Proportional to 758,045.25 and 1,642,136.63

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Solution

The third proportional to 758,045.25 and 1,642,136.63 is: 3,557,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,045.25 : 1,642,136.63 = 1,642,136.63 : x
  2. Step 2: Convert to fraction form
    758,045.25/1,642,136.63 = 1,642,136.63/x
  3. Step 3: Cross multiply
    758,045.25x = 1,642,136.63 × 1,642,136.63
  4. Step 4: Simplify right side
    758,045.25x = 2,696,612,695,166.39
  5. Step 5: Solve for x
    x = 2,696,612,695,166.39/758,045.25
  6. Step 6: Final answer
    x = 3,557,324.18

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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.