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Finding the Third Proportional to 590,446 and 939,969

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Solution

The third proportional to 590,446 and 939,969 is: 1,496,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,446 : 939,969 = 939,969 : x
  2. Step 2: Convert to fraction form
    590,446/939,969 = 939,969/x
  3. Step 3: Cross multiply
    590,446x = 939,969 × 939,969
  4. Step 4: Simplify right side
    590,446x = 883,541,720,961
  5. Step 5: Solve for x
    x = 883,541,720,961/590,446
  6. Step 6: Final answer
    x = 1,496,397.17

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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.