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Finding the Third Proportional to 746,706 and 1,638,564.25

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Solution

The third proportional to 746,706 and 1,638,564.25 is: 3,595,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,706 : 1,638,564.25 = 1,638,564.25 : x
  2. Step 2: Convert to fraction form
    746,706/1,638,564.25 = 1,638,564.25/x
  3. Step 3: Cross multiply
    746,706x = 1,638,564.25 × 1,638,564.25
  4. Step 4: Simplify right side
    746,706x = 2,684,892,801,378.06
  5. Step 5: Solve for x
    x = 2,684,892,801,378.06/746,706
  6. Step 6: Final answer
    x = 3,595,649.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.