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Finding the Third Proportional to 590,429 and 939,944

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Solution

The third proportional to 590,429 and 939,944 is: 1,496,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,429 : 939,944 = 939,944 : x
  2. Step 2: Convert to fraction form
    590,429/939,944 = 939,944/x
  3. Step 3: Cross multiply
    590,429x = 939,944 × 939,944
  4. Step 4: Simplify right side
    590,429x = 883,494,723,136
  5. Step 5: Solve for x
    x = 883,494,723,136/590,429
  6. Step 6: Final answer
    x = 1,496,360.65

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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.