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Finding the Third Proportional to 434,982 and 922,188

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Solution

The third proportional to 434,982 and 922,188 is: 1,955,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,982 : 922,188 = 922,188 : x
  2. Step 2: Convert to fraction form
    434,982/922,188 = 922,188/x
  3. Step 3: Cross multiply
    434,982x = 922,188 × 922,188
  4. Step 4: Simplify right side
    434,982x = 850,430,707,344
  5. Step 5: Solve for x
    x = 850,430,707,344/434,982
  6. Step 6: Final answer
    x = 1,955,094.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.