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Finding the Third Proportional to 901,024 and 1,601,724

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Solution

The third proportional to 901,024 and 1,601,724 is: 2,847,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,024 : 1,601,724 = 1,601,724 : x
  2. Step 2: Convert to fraction form
    901,024/1,601,724 = 1,601,724/x
  3. Step 3: Cross multiply
    901,024x = 1,601,724 × 1,601,724
  4. Step 4: Simplify right side
    901,024x = 2,565,519,772,176
  5. Step 5: Solve for x
    x = 2,565,519,772,176/901,024
  6. Step 6: Final answer
    x = 2,847,337.89

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.