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Finding the Third Proportional to 884,324 and 1,894,828

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Solution

The third proportional to 884,324 and 1,894,828 is: 4,060,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,324 : 1,894,828 = 1,894,828 : x
  2. Step 2: Convert to fraction form
    884,324/1,894,828 = 1,894,828/x
  3. Step 3: Cross multiply
    884,324x = 1,894,828 × 1,894,828
  4. Step 4: Simplify right side
    884,324x = 3,590,373,149,584
  5. Step 5: Solve for x
    x = 3,590,373,149,584/884,324
  6. Step 6: Final answer
    x = 4,060,020.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.