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Finding the Third Proportional to 405,044 and 937,703

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Solution

The third proportional to 405,044 and 937,703 is: 2,170,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,044 : 937,703 = 937,703 : x
  2. Step 2: Convert to fraction form
    405,044/937,703 = 937,703/x
  3. Step 3: Cross multiply
    405,044x = 937,703 × 937,703
  4. Step 4: Simplify right side
    405,044x = 879,286,916,209
  5. Step 5: Solve for x
    x = 879,286,916,209/405,044
  6. Step 6: Final answer
    x = 2,170,842.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.