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Finding the Third Proportional to 643,588 and 874,066

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Solution

The third proportional to 643,588 and 874,066 is: 1,187,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,588 : 874,066 = 874,066 : x
  2. Step 2: Convert to fraction form
    643,588/874,066 = 874,066/x
  3. Step 3: Cross multiply
    643,588x = 874,066 × 874,066
  4. Step 4: Simplify right side
    643,588x = 763,991,372,356
  5. Step 5: Solve for x
    x = 763,991,372,356/643,588
  6. Step 6: Final answer
    x = 1,187,081.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.