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Finding the Third Proportional to 421,661 and 925,358

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Solution

The third proportional to 421,661 and 925,358 is: 2,030,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,661 : 925,358 = 925,358 : x
  2. Step 2: Convert to fraction form
    421,661/925,358 = 925,358/x
  3. Step 3: Cross multiply
    421,661x = 925,358 × 925,358
  4. Step 4: Simplify right side
    421,661x = 856,287,428,164
  5. Step 5: Solve for x
    x = 856,287,428,164/421,661
  6. Step 6: Final answer
    x = 2,030,748.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.