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Finding the Third Proportional to 590,421 and 939,933

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Solution

The third proportional to 590,421 and 939,933 is: 1,496,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,421 : 939,933 = 939,933 : x
  2. Step 2: Convert to fraction form
    590,421/939,933 = 939,933/x
  3. Step 3: Cross multiply
    590,421x = 939,933 × 939,933
  4. Step 4: Simplify right side
    590,421x = 883,474,044,489
  5. Step 5: Solve for x
    x = 883,474,044,489/590,421
  6. Step 6: Final answer
    x = 1,496,345.90

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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.