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Finding the Third Proportional to 924,198 and 1,354,257

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Solution

The third proportional to 924,198 and 1,354,257 is: 1,984,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,198 : 1,354,257 = 1,354,257 : x
  2. Step 2: Convert to fraction form
    924,198/1,354,257 = 1,354,257/x
  3. Step 3: Cross multiply
    924,198x = 1,354,257 × 1,354,257
  4. Step 4: Simplify right side
    924,198x = 1,834,012,022,049
  5. Step 5: Solve for x
    x = 1,834,012,022,049/924,198
  6. Step 6: Final answer
    x = 1,984,436.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.