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Finding the Third Proportional to 785,666 and 1,695,652

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Solution

The third proportional to 785,666 and 1,695,652 is: 3,659,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,666 : 1,695,652 = 1,695,652 : x
  2. Step 2: Convert to fraction form
    785,666/1,695,652 = 1,695,652/x
  3. Step 3: Cross multiply
    785,666x = 1,695,652 × 1,695,652
  4. Step 4: Simplify right side
    785,666x = 2,875,235,705,104
  5. Step 5: Solve for x
    x = 2,875,235,705,104/785,666
  6. Step 6: Final answer
    x = 3,659,615.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.