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Finding the Third Proportional to 590,478 and 940,014

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Solution

The third proportional to 590,478 and 940,014 is: 1,496,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,478 : 940,014 = 940,014 : x
  2. Step 2: Convert to fraction form
    590,478/940,014 = 940,014/x
  3. Step 3: Cross multiply
    590,478x = 940,014 × 940,014
  4. Step 4: Simplify right side
    590,478x = 883,626,320,196
  5. Step 5: Solve for x
    x = 883,626,320,196/590,478
  6. Step 6: Final answer
    x = 1,496,459.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.