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Finding the Third Proportional to 552,224 and 1,207,840

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Solution

The third proportional to 552,224 and 1,207,840 is: 2,641,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,224 : 1,207,840 = 1,207,840 : x
  2. Step 2: Convert to fraction form
    552,224/1,207,840 = 1,207,840/x
  3. Step 3: Cross multiply
    552,224x = 1,207,840 × 1,207,840
  4. Step 4: Simplify right side
    552,224x = 1,458,877,465,600
  5. Step 5: Solve for x
    x = 1,458,877,465,600/552,224
  6. Step 6: Final answer
    x = 2,641,821.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.