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Finding the Third Proportional to 690,140 and 1,408,450

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Solution

The third proportional to 690,140 and 1,408,450 is: 2,874,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,140 : 1,408,450 = 1,408,450 : x
  2. Step 2: Convert to fraction form
    690,140/1,408,450 = 1,408,450/x
  3. Step 3: Cross multiply
    690,140x = 1,408,450 × 1,408,450
  4. Step 4: Simplify right side
    690,140x = 1,983,731,402,500
  5. Step 5: Solve for x
    x = 1,983,731,402,500/690,140
  6. Step 6: Final answer
    x = 2,874,389.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.