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Finding the Third Proportional to 797,972 and 1,706,536

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Solution

The third proportional to 797,972 and 1,706,536 is: 3,649,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,972 : 1,706,536 = 1,706,536 : x
  2. Step 2: Convert to fraction form
    797,972/1,706,536 = 1,706,536/x
  3. Step 3: Cross multiply
    797,972x = 1,706,536 × 1,706,536
  4. Step 4: Simplify right side
    797,972x = 2,912,265,119,296
  5. Step 5: Solve for x
    x = 2,912,265,119,296/797,972
  6. Step 6: Final answer
    x = 3,649,583.09

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