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Finding the Third Proportional to 858,266 and 1,358,742

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Solution

The third proportional to 858,266 and 1,358,742 is: 2,151,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,266 : 1,358,742 = 1,358,742 : x
  2. Step 2: Convert to fraction form
    858,266/1,358,742 = 1,358,742/x
  3. Step 3: Cross multiply
    858,266x = 1,358,742 × 1,358,742
  4. Step 4: Simplify right side
    858,266x = 1,846,179,822,564
  5. Step 5: Solve for x
    x = 1,846,179,822,564/858,266
  6. Step 6: Final answer
    x = 2,151,057.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.