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Finding the Third Proportional to 1,692,144 and 2,777,780.25

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Solution

The third proportional to 1,692,144 and 2,777,780.25 is: 4,559,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692,144 : 2,777,780.25 = 2,777,780.25 : x
  2. Step 2: Convert to fraction form
    1,692,144/2,777,780.25 = 2,777,780.25/x
  3. Step 3: Cross multiply
    1,692,144x = 2,777,780.25 × 2,777,780.25
  4. Step 4: Simplify right side
    1,692,144x = 7,716,063,117,290.06
  5. Step 5: Solve for x
    x = 7,716,063,117,290.06/1,692,144
  6. Step 6: Final answer
    x = 4,559,932.91

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.