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Finding the Third Proportional to 1,594,059.75 and 1,853,168.63

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Solution

The third proportional to 1,594,059.75 and 1,853,168.63 is: 2,154,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594,059.75 : 1,853,168.63 = 1,853,168.63 : x
  2. Step 2: Convert to fraction form
    1,594,059.75/1,853,168.63 = 1,853,168.63/x
  3. Step 3: Cross multiply
    1,594,059.75x = 1,853,168.63 × 1,853,168.63
  4. Step 4: Simplify right side
    1,594,059.75x = 3,434,233,952,684.39
  5. Step 5: Solve for x
    x = 3,434,233,952,684.39/1,594,059.75
  6. Step 6: Final answer
    x = 2,154,394.75

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.