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Finding the Third Proportional to 1,310,910.75 and 1,771,146

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Solution

The third proportional to 1,310,910.75 and 1,771,146 is: 2,392,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,910.75 : 1,771,146 = 1,771,146 : x
  2. Step 2: Convert to fraction form
    1,310,910.75/1,771,146 = 1,771,146/x
  3. Step 3: Cross multiply
    1,310,910.75x = 1,771,146 × 1,771,146
  4. Step 4: Simplify right side
    1,310,910.75x = 3,136,958,153,316
  5. Step 5: Solve for x
    x = 3,136,958,153,316/1,310,910.75
  6. Step 6: Final answer
    x = 2,392,960.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.