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Finding the Third Proportional to 696,168 and 1,077,036.75

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Solution

The third proportional to 696,168 and 1,077,036.75 is: 1,666,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,168 : 1,077,036.75 = 1,077,036.75 : x
  2. Step 2: Convert to fraction form
    696,168/1,077,036.75 = 1,077,036.75/x
  3. Step 3: Cross multiply
    696,168x = 1,077,036.75 × 1,077,036.75
  4. Step 4: Simplify right side
    696,168x = 1,160,008,160,850.56
  5. Step 5: Solve for x
    x = 1,160,008,160,850.56/696,168
  6. Step 6: Final answer
    x = 1,666,276.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.