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Finding the Third Proportional to 797,970 and 1,706,532

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Solution

The third proportional to 797,970 and 1,706,532 is: 3,649,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,970 : 1,706,532 = 1,706,532 : x
  2. Step 2: Convert to fraction form
    797,970/1,706,532 = 1,706,532/x
  3. Step 3: Cross multiply
    797,970x = 1,706,532 × 1,706,532
  4. Step 4: Simplify right side
    797,970x = 2,912,251,467,024
  5. Step 5: Solve for x
    x = 2,912,251,467,024/797,970
  6. Step 6: Final answer
    x = 3,649,575.13

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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.