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Finding the Third Proportional to 623,530 and 1,346,690

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Solution

The third proportional to 623,530 and 1,346,690 is: 2,908,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,530 : 1,346,690 = 1,346,690 : x
  2. Step 2: Convert to fraction form
    623,530/1,346,690 = 1,346,690/x
  3. Step 3: Cross multiply
    623,530x = 1,346,690 × 1,346,690
  4. Step 4: Simplify right side
    623,530x = 1,813,573,956,100
  5. Step 5: Solve for x
    x = 1,813,573,956,100/623,530
  6. Step 6: Final answer
    x = 2,908,559.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.