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Finding the Third Proportional to 945,696 and 1,419,488

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Solution

The third proportional to 945,696 and 1,419,488 is: 2,130,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,696 : 1,419,488 = 1,419,488 : x
  2. Step 2: Convert to fraction form
    945,696/1,419,488 = 1,419,488/x
  3. Step 3: Cross multiply
    945,696x = 1,419,488 × 1,419,488
  4. Step 4: Simplify right side
    945,696x = 2,014,946,182,144
  5. Step 5: Solve for x
    x = 2,014,946,182,144/945,696
  6. Step 6: Final answer
    x = 2,130,648.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.