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Finding the Third Proportional to 633,701 and 1,409,084

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Solution

The third proportional to 633,701 and 1,409,084 is: 3,133,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,701 : 1,409,084 = 1,409,084 : x
  2. Step 2: Convert to fraction form
    633,701/1,409,084 = 1,409,084/x
  3. Step 3: Cross multiply
    633,701x = 1,409,084 × 1,409,084
  4. Step 4: Simplify right side
    633,701x = 1,985,517,719,056
  5. Step 5: Solve for x
    x = 1,985,517,719,056/633,701
  6. Step 6: Final answer
    x = 3,133,209.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.