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Finding the Third Proportional to 572,906 and 1,260,214

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Solution

The third proportional to 572,906 and 1,260,214 is: 2,772,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,906 : 1,260,214 = 1,260,214 : x
  2. Step 2: Convert to fraction form
    572,906/1,260,214 = 1,260,214/x
  3. Step 3: Cross multiply
    572,906x = 1,260,214 × 1,260,214
  4. Step 4: Simplify right side
    572,906x = 1,588,139,325,796
  5. Step 5: Solve for x
    x = 1,588,139,325,796/572,906
  6. Step 6: Final answer
    x = 2,772,076.62

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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.