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Finding the Third Proportional to 1,272,124.50 and 2,765,109

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Solution

The third proportional to 1,272,124.50 and 2,765,109 is: 6,010,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,124.50 : 2,765,109 = 2,765,109 : x
  2. Step 2: Convert to fraction form
    1,272,124.50/2,765,109 = 2,765,109/x
  3. Step 3: Cross multiply
    1,272,124.50x = 2,765,109 × 2,765,109
  4. Step 4: Simplify right side
    1,272,124.50x = 7,645,827,781,881
  5. Step 5: Solve for x
    x = 7,645,827,781,881/1,272,124.50
  6. Step 6: Final answer
    x = 6,010,282.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.