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Finding the Third Proportional to 702,072 and 1,516,014

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Solution

The third proportional to 702,072 and 1,516,014 is: 3,273,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,072 : 1,516,014 = 1,516,014 : x
  2. Step 2: Convert to fraction form
    702,072/1,516,014 = 1,516,014/x
  3. Step 3: Cross multiply
    702,072x = 1,516,014 × 1,516,014
  4. Step 4: Simplify right side
    702,072x = 2,298,298,448,196
  5. Step 5: Solve for x
    x = 2,298,298,448,196/702,072
  6. Step 6: Final answer
    x = 3,273,593.66

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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.