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Finding the Third Proportional to 590,407 and 939,913

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Solution

The third proportional to 590,407 and 939,913 is: 1,496,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,407 : 939,913 = 939,913 : x
  2. Step 2: Convert to fraction form
    590,407/939,913 = 939,913/x
  3. Step 3: Cross multiply
    590,407x = 939,913 × 939,913
  4. Step 4: Simplify right side
    590,407x = 883,436,447,569
  5. Step 5: Solve for x
    x = 883,436,447,569/590,407
  6. Step 6: Final answer
    x = 1,496,317.71

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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.