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Finding the Third Proportional to 470,450 and 1,110,389

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Solution

The third proportional to 470,450 and 1,110,389 is: 2,620,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,450 : 1,110,389 = 1,110,389 : x
  2. Step 2: Convert to fraction form
    470,450/1,110,389 = 1,110,389/x
  3. Step 3: Cross multiply
    470,450x = 1,110,389 × 1,110,389
  4. Step 4: Simplify right side
    470,450x = 1,232,963,731,321
  5. Step 5: Solve for x
    x = 1,232,963,731,321/470,450
  6. Step 6: Final answer
    x = 2,620,817.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.