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Finding the Third Proportional to 1,743,971.91 and 2,617,696.41

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Solution

The third proportional to 1,743,971.91 and 2,617,696.41 is: 3,929,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,971.91 : 2,617,696.41 = 2,617,696.41 : x
  2. Step 2: Convert to fraction form
    1,743,971.91/2,617,696.41 = 2,617,696.41/x
  3. Step 3: Cross multiply
    1,743,971.91x = 2,617,696.41 × 2,617,696.41
  4. Step 4: Simplify right side
    1,743,971.91x = 6,852,334,475,294.17
  5. Step 5: Solve for x
    x = 6,852,334,475,294.17/1,743,971.91
  6. Step 6: Final answer
    x = 3,929,154.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.