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Finding the Third Proportional to 572,910 and 1,260,224

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Solution

The third proportional to 572,910 and 1,260,224 is: 2,772,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,910 : 1,260,224 = 1,260,224 : x
  2. Step 2: Convert to fraction form
    572,910/1,260,224 = 1,260,224/x
  3. Step 3: Cross multiply
    572,910x = 1,260,224 × 1,260,224
  4. Step 4: Simplify right side
    572,910x = 1,588,164,530,176
  5. Step 5: Solve for x
    x = 1,588,164,530,176/572,910
  6. Step 6: Final answer
    x = 2,772,101.26

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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.