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Finding the Third Proportional to 872,457 and 1,824,376

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Solution

The third proportional to 872,457 and 1,824,376 is: 3,814,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,457 : 1,824,376 = 1,824,376 : x
  2. Step 2: Convert to fraction form
    872,457/1,824,376 = 1,824,376/x
  3. Step 3: Cross multiply
    872,457x = 1,824,376 × 1,824,376
  4. Step 4: Simplify right side
    872,457x = 3,328,347,789,376
  5. Step 5: Solve for x
    x = 3,328,347,789,376/872,457
  6. Step 6: Final answer
    x = 3,814,913.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.