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Finding the Third Proportional to 1,087,740 and 2,305,146

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Solution

The third proportional to 1,087,740 and 2,305,146 is: 4,885,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087,740 : 2,305,146 = 2,305,146 : x
  2. Step 2: Convert to fraction form
    1,087,740/2,305,146 = 2,305,146/x
  3. Step 3: Cross multiply
    1,087,740x = 2,305,146 × 2,305,146
  4. Step 4: Simplify right side
    1,087,740x = 5,313,698,081,316
  5. Step 5: Solve for x
    x = 5,313,698,081,316/1,087,740
  6. Step 6: Final answer
    x = 4,885,081.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.