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Finding the Third Proportional to 452,722.50 and 959,412.94

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Solution

The third proportional to 452,722.50 and 959,412.94 is: 2,033,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,722.50 : 959,412.94 = 959,412.94 : x
  2. Step 2: Convert to fraction form
    452,722.50/959,412.94 = 959,412.94/x
  3. Step 3: Cross multiply
    452,722.50x = 959,412.94 × 959,412.94
  4. Step 4: Simplify right side
    452,722.50x = 920,473,184,642.38
  5. Step 5: Solve for x
    x = 920,473,184,642.38/452,722.50
  6. Step 6: Final answer
    x = 2,033,195.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.