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Finding the Third Proportional to 1,531,659 and 3,341,837

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Solution

The third proportional to 1,531,659 and 3,341,837 is: 7,291,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,659 : 3,341,837 = 3,341,837 : x
  2. Step 2: Convert to fraction form
    1,531,659/3,341,837 = 3,341,837/x
  3. Step 3: Cross multiply
    1,531,659x = 3,341,837 × 3,341,837
  4. Step 4: Simplify right side
    1,531,659x = 11,167,874,534,569
  5. Step 5: Solve for x
    x = 11,167,874,534,569/1,531,659
  6. Step 6: Final answer
    x = 7,291,358.28

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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.