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Finding the Third Proportional to 945,688 and 1,419,476

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Solution

The third proportional to 945,688 and 1,419,476 is: 2,130,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,688 : 1,419,476 = 1,419,476 : x
  2. Step 2: Convert to fraction form
    945,688/1,419,476 = 1,419,476/x
  3. Step 3: Cross multiply
    945,688x = 1,419,476 × 1,419,476
  4. Step 4: Simplify right side
    945,688x = 2,014,912,114,576
  5. Step 5: Solve for x
    x = 2,014,912,114,576/945,688
  6. Step 6: Final answer
    x = 2,130,630.94

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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.