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Finding the Third Proportional to 797,967 and 1,706,526

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Solution

The third proportional to 797,967 and 1,706,526 is: 3,649,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,967 : 1,706,526 = 1,706,526 : x
  2. Step 2: Convert to fraction form
    797,967/1,706,526 = 1,706,526/x
  3. Step 3: Cross multiply
    797,967x = 1,706,526 × 1,706,526
  4. Step 4: Simplify right side
    797,967x = 2,912,230,988,676
  5. Step 5: Solve for x
    x = 2,912,230,988,676/797,967
  6. Step 6: Final answer
    x = 3,649,563.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.