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Finding the Third Proportional to 435,662 and 911,218

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Solution

The third proportional to 435,662 and 911,218 is: 1,905,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,662 : 911,218 = 911,218 : x
  2. Step 2: Convert to fraction form
    435,662/911,218 = 911,218/x
  3. Step 3: Cross multiply
    435,662x = 911,218 × 911,218
  4. Step 4: Simplify right side
    435,662x = 830,318,243,524
  5. Step 5: Solve for x
    x = 830,318,243,524/435,662
  6. Step 6: Final answer
    x = 1,905,877.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.