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Finding the Third Proportional to 665,969 and 1,059,241.50

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Solution

The third proportional to 665,969 and 1,059,241.50 is: 1,684,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,969 : 1,059,241.50 = 1,059,241.50 : x
  2. Step 2: Convert to fraction form
    665,969/1,059,241.50 = 1,059,241.50/x
  3. Step 3: Cross multiply
    665,969x = 1,059,241.50 × 1,059,241.50
  4. Step 4: Simplify right side
    665,969x = 1,121,992,555,322.25
  5. Step 5: Solve for x
    x = 1,121,992,555,322.25/665,969
  6. Step 6: Final answer
    x = 1,684,751.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.