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Finding the Third Proportional to 615,212 and 1,317,902

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Solution

The third proportional to 615,212 and 1,317,902 is: 2,823,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,212 : 1,317,902 = 1,317,902 : x
  2. Step 2: Convert to fraction form
    615,212/1,317,902 = 1,317,902/x
  3. Step 3: Cross multiply
    615,212x = 1,317,902 × 1,317,902
  4. Step 4: Simplify right side
    615,212x = 1,736,865,681,604
  5. Step 5: Solve for x
    x = 1,736,865,681,604/615,212
  6. Step 6: Final answer
    x = 2,823,198.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.