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Finding the Third Proportional to 435,114 and 922,500

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Solution

The third proportional to 435,114 and 922,500 is: 1,955,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,114 : 922,500 = 922,500 : x
  2. Step 2: Convert to fraction form
    435,114/922,500 = 922,500/x
  3. Step 3: Cross multiply
    435,114x = 922,500 × 922,500
  4. Step 4: Simplify right side
    435,114x = 851,006,250,000
  5. Step 5: Solve for x
    x = 851,006,250,000/435,114
  6. Step 6: Final answer
    x = 1,955,823.65

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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.