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Finding the Third Proportional to 1,085,108 and 2,357,020

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Solution

The third proportional to 1,085,108 and 2,357,020 is: 5,119,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,108 : 2,357,020 = 2,357,020 : x
  2. Step 2: Convert to fraction form
    1,085,108/2,357,020 = 2,357,020/x
  3. Step 3: Cross multiply
    1,085,108x = 2,357,020 × 2,357,020
  4. Step 4: Simplify right side
    1,085,108x = 5,555,543,280,400
  5. Step 5: Solve for x
    x = 5,555,543,280,400/1,085,108
  6. Step 6: Final answer
    x = 5,119,806.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.