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Finding the Third Proportional to 797,965 and 1,706,522

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Solution

The third proportional to 797,965 and 1,706,522 is: 3,649,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,965 : 1,706,522 = 1,706,522 : x
  2. Step 2: Convert to fraction form
    797,965/1,706,522 = 1,706,522/x
  3. Step 3: Cross multiply
    797,965x = 1,706,522 × 1,706,522
  4. Step 4: Simplify right side
    797,965x = 2,912,217,336,484
  5. Step 5: Solve for x
    x = 2,912,217,336,484/797,965
  6. Step 6: Final answer
    x = 3,649,555.23

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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.