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Finding the Third Proportional to 435,069 and 942,707

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Solution

The third proportional to 435,069 and 942,707 is: 2,042,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,069 : 942,707 = 942,707 : x
  2. Step 2: Convert to fraction form
    435,069/942,707 = 942,707/x
  3. Step 3: Cross multiply
    435,069x = 942,707 × 942,707
  4. Step 4: Simplify right side
    435,069x = 888,696,487,849
  5. Step 5: Solve for x
    x = 888,696,487,849/435,069
  6. Step 6: Final answer
    x = 2,042,656.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.