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Finding the Third Proportional to 615,201 and 1,317,882

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Solution

The third proportional to 615,201 and 1,317,882 is: 2,823,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,201 : 1,317,882 = 1,317,882 : x
  2. Step 2: Convert to fraction form
    615,201/1,317,882 = 1,317,882/x
  3. Step 3: Cross multiply
    615,201x = 1,317,882 × 1,317,882
  4. Step 4: Simplify right side
    615,201x = 1,736,812,965,924
  5. Step 5: Solve for x
    x = 1,736,812,965,924/615,201
  6. Step 6: Final answer
    x = 2,823,163.43

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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.