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Finding the Third Proportional to 612,492 and 901,233

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Solution

The third proportional to 612,492 and 901,233 is: 1,326,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,492 : 901,233 = 901,233 : x
  2. Step 2: Convert to fraction form
    612,492/901,233 = 901,233/x
  3. Step 3: Cross multiply
    612,492x = 901,233 × 901,233
  4. Step 4: Simplify right side
    612,492x = 812,220,920,289
  5. Step 5: Solve for x
    x = 812,220,920,289/612,492
  6. Step 6: Final answer
    x = 1,326,092.29

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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.