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Finding the Third Proportional to 1,905,072 and 2,902,272

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Solution

The third proportional to 1,905,072 and 2,902,272 is: 4,421,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,072 : 2,902,272 = 2,902,272 : x
  2. Step 2: Convert to fraction form
    1,905,072/2,902,272 = 2,902,272/x
  3. Step 3: Cross multiply
    1,905,072x = 2,902,272 × 2,902,272
  4. Step 4: Simplify right side
    1,905,072x = 8,423,182,761,984
  5. Step 5: Solve for x
    x = 8,423,182,761,984/1,905,072
  6. Step 6: Final answer
    x = 4,421,451.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.