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Finding the Third Proportional to 674,429 and 1,411,214

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Solution

The third proportional to 674,429 and 1,411,214 is: 2,952,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,429 : 1,411,214 = 1,411,214 : x
  2. Step 2: Convert to fraction form
    674,429/1,411,214 = 1,411,214/x
  3. Step 3: Cross multiply
    674,429x = 1,411,214 × 1,411,214
  4. Step 4: Simplify right side
    674,429x = 1,991,524,953,796
  5. Step 5: Solve for x
    x = 1,991,524,953,796/674,429
  6. Step 6: Final answer
    x = 2,952,905.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.