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Finding the Third Proportional to 767,117.25 and 1,615,109.63

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Solution

The third proportional to 767,117.25 and 1,615,109.63 is: 3,400,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,117.25 : 1,615,109.63 = 1,615,109.63 : x
  2. Step 2: Convert to fraction form
    767,117.25/1,615,109.63 = 1,615,109.63/x
  3. Step 3: Cross multiply
    767,117.25x = 1,615,109.63 × 1,615,109.63
  4. Step 4: Simplify right side
    767,117.25x = 2,608,579,100,767.64
  5. Step 5: Solve for x
    x = 2,608,579,100,767.64/767,117.25
  6. Step 6: Final answer
    x = 3,400,495.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.