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Finding the Third Proportional to 1,161,106 and 1,759,175

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Solution

The third proportional to 1,161,106 and 1,759,175 is: 2,665,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,106 : 1,759,175 = 1,759,175 : x
  2. Step 2: Convert to fraction form
    1,161,106/1,759,175 = 1,759,175/x
  3. Step 3: Cross multiply
    1,161,106x = 1,759,175 × 1,759,175
  4. Step 4: Simplify right side
    1,161,106x = 3,094,696,680,625
  5. Step 5: Solve for x
    x = 3,094,696,680,625/1,161,106
  6. Step 6: Final answer
    x = 2,665,300.74

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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.