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Finding the Third Proportional to 702,074 and 1,516,018

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Solution

The third proportional to 702,074 and 1,516,018 is: 3,273,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,074 : 1,516,018 = 1,516,018 : x
  2. Step 2: Convert to fraction form
    702,074/1,516,018 = 1,516,018/x
  3. Step 3: Cross multiply
    702,074x = 1,516,018 × 1,516,018
  4. Step 4: Simplify right side
    702,074x = 2,298,310,576,324
  5. Step 5: Solve for x
    x = 2,298,310,576,324/702,074
  6. Step 6: Final answer
    x = 3,273,601.61

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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.