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Finding the Third Proportional to 409,032 and 837,888

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Solution

The third proportional to 409,032 and 837,888 is: 1,716,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,032 : 837,888 = 837,888 : x
  2. Step 2: Convert to fraction form
    409,032/837,888 = 837,888/x
  3. Step 3: Cross multiply
    409,032x = 837,888 × 837,888
  4. Step 4: Simplify right side
    409,032x = 702,056,300,544
  5. Step 5: Solve for x
    x = 702,056,300,544/409,032
  6. Step 6: Final answer
    x = 1,716,384.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.