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Finding the Third Proportional to 1,570,961 and 3,421,849

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Solution

The third proportional to 1,570,961 and 3,421,849 is: 7,453,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,961 : 3,421,849 = 3,421,849 : x
  2. Step 2: Convert to fraction form
    1,570,961/3,421,849 = 3,421,849/x
  3. Step 3: Cross multiply
    1,570,961x = 3,421,849 × 3,421,849
  4. Step 4: Simplify right side
    1,570,961x = 11,709,050,578,801
  5. Step 5: Solve for x
    x = 11,709,050,578,801/1,570,961
  6. Step 6: Final answer
    x = 7,453,431.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.