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Finding the Third Proportional to 715,398 and 1,516,088

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Solution

The third proportional to 715,398 and 1,516,088 is: 3,212,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,398 : 1,516,088 = 1,516,088 : x
  2. Step 2: Convert to fraction form
    715,398/1,516,088 = 1,516,088/x
  3. Step 3: Cross multiply
    715,398x = 1,516,088 × 1,516,088
  4. Step 4: Simplify right side
    715,398x = 2,298,522,823,744
  5. Step 5: Solve for x
    x = 2,298,522,823,744/715,398
  6. Step 6: Final answer
    x = 3,212,928.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.