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Finding the Third Proportional to 693,104.13 and 1,516,858.63

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Solution

The third proportional to 693,104.13 and 1,516,858.63 is: 3,319,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,104.13 : 1,516,858.63 = 1,516,858.63 : x
  2. Step 2: Convert to fraction form
    693,104.13/1,516,858.63 = 1,516,858.63/x
  3. Step 3: Cross multiply
    693,104.13x = 1,516,858.63 × 1,516,858.63
  4. Step 4: Simplify right side
    693,104.13x = 2,300,860,088,236.89
  5. Step 5: Solve for x
    x = 2,300,860,088,236.89/693,104.13
  6. Step 6: Final answer
    x = 3,319,645.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.