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Finding the Third Proportional to 590,440 and 939,962

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Solution

The third proportional to 590,440 and 939,962 is: 1,496,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,440 : 939,962 = 939,962 : x
  2. Step 2: Convert to fraction form
    590,440/939,962 = 939,962/x
  3. Step 3: Cross multiply
    590,440x = 939,962 × 939,962
  4. Step 4: Simplify right side
    590,440x = 883,528,561,444
  5. Step 5: Solve for x
    x = 883,528,561,444/590,440
  6. Step 6: Final answer
    x = 1,496,390.08

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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.