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Finding the Third Proportional to 715,413 and 1,516,119

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Solution

The third proportional to 715,413 and 1,516,119 is: 3,212,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,413 : 1,516,119 = 1,516,119 : x
  2. Step 2: Convert to fraction form
    715,413/1,516,119 = 1,516,119/x
  3. Step 3: Cross multiply
    715,413x = 1,516,119 × 1,516,119
  4. Step 4: Simplify right side
    715,413x = 2,298,616,822,161
  5. Step 5: Solve for x
    x = 2,298,616,822,161/715,413
  6. Step 6: Final answer
    x = 3,212,992.81

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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.