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Finding the Third Proportional to 615,216 and 1,317,910

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Solution

The third proportional to 615,216 and 1,317,910 is: 2,823,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,216 : 1,317,910 = 1,317,910 : x
  2. Step 2: Convert to fraction form
    615,216/1,317,910 = 1,317,910/x
  3. Step 3: Cross multiply
    615,216x = 1,317,910 × 1,317,910
  4. Step 4: Simplify right side
    615,216x = 1,736,886,768,100
  5. Step 5: Solve for x
    x = 1,736,886,768,100/615,216
  6. Step 6: Final answer
    x = 2,823,214.56

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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.