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Finding the Third Proportional to 674,397 and 1,424,070

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Solution

The third proportional to 674,397 and 1,424,070 is: 3,007,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,397 : 1,424,070 = 1,424,070 : x
  2. Step 2: Convert to fraction form
    674,397/1,424,070 = 1,424,070/x
  3. Step 3: Cross multiply
    674,397x = 1,424,070 × 1,424,070
  4. Step 4: Simplify right side
    674,397x = 2,027,975,364,900
  5. Step 5: Solve for x
    x = 2,027,975,364,900/674,397
  6. Step 6: Final answer
    x = 3,007,094.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.