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Finding the Third Proportional to 785,771 and 1,715,473

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Solution

The third proportional to 785,771 and 1,715,473 is: 3,745,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,771 : 1,715,473 = 1,715,473 : x
  2. Step 2: Convert to fraction form
    785,771/1,715,473 = 1,715,473/x
  3. Step 3: Cross multiply
    785,771x = 1,715,473 × 1,715,473
  4. Step 4: Simplify right side
    785,771x = 2,942,847,613,729
  5. Step 5: Solve for x
    x = 2,942,847,613,729/785,771
  6. Step 6: Final answer
    x = 3,745,172.08

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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.