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Finding the Third Proportional to 572,214 and 1,256,460

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Solution

The third proportional to 572,214 and 1,256,460 is: 2,758,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,214 : 1,256,460 = 1,256,460 : x
  2. Step 2: Convert to fraction form
    572,214/1,256,460 = 1,256,460/x
  3. Step 3: Cross multiply
    572,214x = 1,256,460 × 1,256,460
  4. Step 4: Simplify right side
    572,214x = 1,578,691,731,600
  5. Step 5: Solve for x
    x = 1,578,691,731,600/572,214
  6. Step 6: Final answer
    x = 2,758,918.40

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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.