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Finding the Third Proportional to 1,051,101 and 2,305,680

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Solution

The third proportional to 1,051,101 and 2,305,680 is: 5,057,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,101 : 2,305,680 = 2,305,680 : x
  2. Step 2: Convert to fraction form
    1,051,101/2,305,680 = 2,305,680/x
  3. Step 3: Cross multiply
    1,051,101x = 2,305,680 × 2,305,680
  4. Step 4: Simplify right side
    1,051,101x = 5,316,160,262,400
  5. Step 5: Solve for x
    x = 5,316,160,262,400/1,051,101
  6. Step 6: Final answer
    x = 5,057,706.41

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Why These Related Problems?

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