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Finding the Third Proportional to 861,569 and 1,874,224

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Solution

The third proportional to 861,569 and 1,874,224 is: 4,077,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,569 : 1,874,224 = 1,874,224 : x
  2. Step 2: Convert to fraction form
    861,569/1,874,224 = 1,874,224/x
  3. Step 3: Cross multiply
    861,569x = 1,874,224 × 1,874,224
  4. Step 4: Simplify right side
    861,569x = 3,512,715,602,176
  5. Step 5: Solve for x
    x = 3,512,715,602,176/861,569
  6. Step 6: Final answer
    x = 4,077,114.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.