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Finding the Third Proportional to 1,175,832 and 2,575,770

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Solution

The third proportional to 1,175,832 and 2,575,770 is: 5,642,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,832 : 2,575,770 = 2,575,770 : x
  2. Step 2: Convert to fraction form
    1,175,832/2,575,770 = 2,575,770/x
  3. Step 3: Cross multiply
    1,175,832x = 2,575,770 × 2,575,770
  4. Step 4: Simplify right side
    1,175,832x = 6,634,591,092,900
  5. Step 5: Solve for x
    x = 6,634,591,092,900/1,175,832
  6. Step 6: Final answer
    x = 5,642,465.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.