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Finding the Third Proportional to 620,106 and 1,314,006

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Solution

The third proportional to 620,106 and 1,314,006 is: 2,784,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,106 : 1,314,006 = 1,314,006 : x
  2. Step 2: Convert to fraction form
    620,106/1,314,006 = 1,314,006/x
  3. Step 3: Cross multiply
    620,106x = 1,314,006 × 1,314,006
  4. Step 4: Simplify right side
    620,106x = 1,726,611,768,036
  5. Step 5: Solve for x
    x = 1,726,611,768,036/620,106
  6. Step 6: Final answer
    x = 2,784,381.65

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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.