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Finding the Third Proportional to 1,401,760 and 2,144,688

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Solution

The third proportional to 1,401,760 and 2,144,688 is: 3,281,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,760 : 2,144,688 = 2,144,688 : x
  2. Step 2: Convert to fraction form
    1,401,760/2,144,688 = 2,144,688/x
  3. Step 3: Cross multiply
    1,401,760x = 2,144,688 × 2,144,688
  4. Step 4: Simplify right side
    1,401,760x = 4,599,686,617,344
  5. Step 5: Solve for x
    x = 4,599,686,617,344/1,401,760
  6. Step 6: Final answer
    x = 3,281,365.30

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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.