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Finding the Third Proportional to 695,505.52 and 1,465,733.53

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Solution

The third proportional to 695,505.52 and 1,465,733.53 is: 3,088,939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,505.52 : 1,465,733.53 = 1,465,733.53 : x
  2. Step 2: Convert to fraction form
    695,505.52/1,465,733.53 = 1,465,733.53/x
  3. Step 3: Cross multiply
    695,505.52x = 1,465,733.53 × 1,465,733.53
  4. Step 4: Simplify right side
    695,505.52x = 2,148,374,784,630.59
  5. Step 5: Solve for x
    x = 2,148,374,784,630.59/695,505.52
  6. Step 6: Final answer
    x = 3,088,939.97

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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.