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Finding the Third Proportional to 1,421,912 and 2,180,373

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Solution

The third proportional to 1,421,912 and 2,180,373 is: 3,343,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,912 : 2,180,373 = 2,180,373 : x
  2. Step 2: Convert to fraction form
    1,421,912/2,180,373 = 2,180,373/x
  3. Step 3: Cross multiply
    1,421,912x = 2,180,373 × 2,180,373
  4. Step 4: Simplify right side
    1,421,912x = 4,754,026,419,129
  5. Step 5: Solve for x
    x = 4,754,026,419,129/1,421,912
  6. Step 6: Final answer
    x = 3,343,404.11

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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.