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Finding the Third Proportional to 588,896 and 918,336

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Solution

The third proportional to 588,896 and 918,336 is: 1,432,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,896 : 918,336 = 918,336 : x
  2. Step 2: Convert to fraction form
    588,896/918,336 = 918,336/x
  3. Step 3: Cross multiply
    588,896x = 918,336 × 918,336
  4. Step 4: Simplify right side
    588,896x = 843,341,008,896
  5. Step 5: Solve for x
    x = 843,341,008,896/588,896
  6. Step 6: Final answer
    x = 1,432,071.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.