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Finding the Third Proportional to 579,734 and 801,066

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Solution

The third proportional to 579,734 and 801,066 is: 1,106,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,734 : 801,066 = 801,066 : x
  2. Step 2: Convert to fraction form
    579,734/801,066 = 801,066/x
  3. Step 3: Cross multiply
    579,734x = 801,066 × 801,066
  4. Step 4: Simplify right side
    579,734x = 641,706,736,356
  5. Step 5: Solve for x
    x = 641,706,736,356/579,734
  6. Step 6: Final answer
    x = 1,106,898.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.