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Finding the Third Proportional to 590,842 and 916,611

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Solution

The third proportional to 590,842 and 916,611 is: 1,421,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,842 : 916,611 = 916,611 : x
  2. Step 2: Convert to fraction form
    590,842/916,611 = 916,611/x
  3. Step 3: Cross multiply
    590,842x = 916,611 × 916,611
  4. Step 4: Simplify right side
    590,842x = 840,175,725,321
  5. Step 5: Solve for x
    x = 840,175,725,321/590,842
  6. Step 6: Final answer
    x = 1,421,997.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.