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Finding the Third Proportional to 422,564 and 928,072

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Solution

The third proportional to 422,564 and 928,072 is: 2,038,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,564 : 928,072 = 928,072 : x
  2. Step 2: Convert to fraction form
    422,564/928,072 = 928,072/x
  3. Step 3: Cross multiply
    422,564x = 928,072 × 928,072
  4. Step 4: Simplify right side
    422,564x = 861,317,637,184
  5. Step 5: Solve for x
    x = 861,317,637,184/422,564
  6. Step 6: Final answer
    x = 2,038,312.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.