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Finding the Third Proportional to 1,029,696 and 1,575,180

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Solution

The third proportional to 1,029,696 and 1,575,180 is: 2,409,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,696 : 1,575,180 = 1,575,180 : x
  2. Step 2: Convert to fraction form
    1,029,696/1,575,180 = 1,575,180/x
  3. Step 3: Cross multiply
    1,029,696x = 1,575,180 × 1,575,180
  4. Step 4: Simplify right side
    1,029,696x = 2,481,192,032,400
  5. Step 5: Solve for x
    x = 2,481,192,032,400/1,029,696
  6. Step 6: Final answer
    x = 2,409,635.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.