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Finding the Third Proportional to 423,628 and 931,214

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Solution

The third proportional to 423,628 and 931,214 is: 2,046,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,628 : 931,214 = 931,214 : x
  2. Step 2: Convert to fraction form
    423,628/931,214 = 931,214/x
  3. Step 3: Cross multiply
    423,628x = 931,214 × 931,214
  4. Step 4: Simplify right side
    423,628x = 867,159,513,796
  5. Step 5: Solve for x
    x = 867,159,513,796/423,628
  6. Step 6: Final answer
    x = 2,046,983.47

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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.