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Finding the Third Proportional to 715,408 and 1,516,100

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Solution

The third proportional to 715,408 and 1,516,100 is: 3,212,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,408 : 1,516,100 = 1,516,100 : x
  2. Step 2: Convert to fraction form
    715,408/1,516,100 = 1,516,100/x
  3. Step 3: Cross multiply
    715,408x = 1,516,100 × 1,516,100
  4. Step 4: Simplify right side
    715,408x = 2,298,559,210,000
  5. Step 5: Solve for x
    x = 2,298,559,210,000/715,408
  6. Step 6: Final answer
    x = 3,212,934.73

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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.