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Finding the Third Proportional to 746,887 and 1,638,902

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Solution

The third proportional to 746,887 and 1,638,902 is: 3,596,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,887 : 1,638,902 = 1,638,902 : x
  2. Step 2: Convert to fraction form
    746,887/1,638,902 = 1,638,902/x
  3. Step 3: Cross multiply
    746,887x = 1,638,902 × 1,638,902
  4. Step 4: Simplify right side
    746,887x = 2,685,999,765,604
  5. Step 5: Solve for x
    x = 2,685,999,765,604/746,887
  6. Step 6: Final answer
    x = 3,596,259.90

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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.