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Finding the Third Proportional to 702,072 and 1,516,013

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Solution

The third proportional to 702,072 and 1,516,013 is: 3,273,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,072 : 1,516,013 = 1,516,013 : x
  2. Step 2: Convert to fraction form
    702,072/1,516,013 = 1,516,013/x
  3. Step 3: Cross multiply
    702,072x = 1,516,013 × 1,516,013
  4. Step 4: Simplify right side
    702,072x = 2,298,295,416,169
  5. Step 5: Solve for x
    x = 2,298,295,416,169/702,072
  6. Step 6: Final answer
    x = 3,273,589.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.