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Finding the Third Proportional to 1,289,648.25 and 2,732,909.63

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Solution

The third proportional to 1,289,648.25 and 2,732,909.63 is: 5,791,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,648.25 : 2,732,909.63 = 2,732,909.63 : x
  2. Step 2: Convert to fraction form
    1,289,648.25/2,732,909.63 = 2,732,909.63/x
  3. Step 3: Cross multiply
    1,289,648.25x = 2,732,909.63 × 2,732,909.63
  4. Step 4: Simplify right side
    1,289,648.25x = 7,468,795,018,417.64
  5. Step 5: Solve for x
    x = 7,468,795,018,417.64/1,289,648.25
  6. Step 6: Final answer
    x = 5,791,342.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.