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Finding the Third Proportional to 1,214,358 and 1,930,077

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Solution

The third proportional to 1,214,358 and 1,930,077 is: 3,067,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,358 : 1,930,077 = 1,930,077 : x
  2. Step 2: Convert to fraction form
    1,214,358/1,930,077 = 1,930,077/x
  3. Step 3: Cross multiply
    1,214,358x = 1,930,077 × 1,930,077
  4. Step 4: Simplify right side
    1,214,358x = 3,725,197,225,929
  5. Step 5: Solve for x
    x = 3,725,197,225,929/1,214,358
  6. Step 6: Final answer
    x = 3,067,626.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.