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Finding the Third Proportional to 423,618 and 931,203

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Solution

The third proportional to 423,618 and 931,203 is: 2,046,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,618 : 931,203 = 931,203 : x
  2. Step 2: Convert to fraction form
    423,618/931,203 = 931,203/x
  3. Step 3: Cross multiply
    423,618x = 931,203 × 931,203
  4. Step 4: Simplify right side
    423,618x = 867,139,027,209
  5. Step 5: Solve for x
    x = 867,139,027,209/423,618
  6. Step 6: Final answer
    x = 2,046,983.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.