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Finding the Third Proportional to 703,684.34 and 1,533,667.92

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Solution

The third proportional to 703,684.34 and 1,533,667.92 is: 3,342,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,684.34 : 1,533,667.92 = 1,533,667.92 : x
  2. Step 2: Convert to fraction form
    703,684.34/1,533,667.92 = 1,533,667.92/x
  3. Step 3: Cross multiply
    703,684.34x = 1,533,667.92 × 1,533,667.92
  4. Step 4: Simplify right side
    703,684.34x = 2,352,137,294,588.38
  5. Step 5: Solve for x
    x = 2,352,137,294,588.38/703,684.34
  6. Step 6: Final answer
    x = 3,342,602.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.