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Finding the Third Proportional to 1,214,458.47 and 2,597,068.20

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Solution

The third proportional to 1,214,458.47 and 2,597,068.20 is: 5,553,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,458.47 : 2,597,068.20 = 2,597,068.20 : x
  2. Step 2: Convert to fraction form
    1,214,458.47/2,597,068.20 = 2,597,068.20/x
  3. Step 3: Cross multiply
    1,214,458.47x = 2,597,068.20 × 2,597,068.20
  4. Step 4: Simplify right side
    1,214,458.47x = 6,744,763,211,103.73
  5. Step 5: Solve for x
    x = 6,744,763,211,103.73/1,214,458.47
  6. Step 6: Final answer
    x = 5,553,720.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.