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Finding the Third Proportional to 442,578 and 960,090

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Solution

The third proportional to 442,578 and 960,090 is: 2,082,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,578 : 960,090 = 960,090 : x
  2. Step 2: Convert to fraction form
    442,578/960,090 = 960,090/x
  3. Step 3: Cross multiply
    442,578x = 960,090 × 960,090
  4. Step 4: Simplify right side
    442,578x = 921,772,808,100
  5. Step 5: Solve for x
    x = 921,772,808,100/442,578
  6. Step 6: Final answer
    x = 2,082,735.26

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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.