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Finding the Third Proportional to 482,229 and 1,047,501

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Solution

The third proportional to 482,229 and 1,047,501 is: 2,275,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,229 : 1,047,501 = 1,047,501 : x
  2. Step 2: Convert to fraction form
    482,229/1,047,501 = 1,047,501/x
  3. Step 3: Cross multiply
    482,229x = 1,047,501 × 1,047,501
  4. Step 4: Simplify right side
    482,229x = 1,097,258,345,001
  5. Step 5: Solve for x
    x = 1,097,258,345,001/482,229
  6. Step 6: Final answer
    x = 2,275,388.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.