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Finding the Third Proportional to 997,370 and 2,137,624

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Solution

The third proportional to 997,370 and 2,137,624 is: 4,581,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,370 : 2,137,624 = 2,137,624 : x
  2. Step 2: Convert to fraction form
    997,370/2,137,624 = 2,137,624/x
  3. Step 3: Cross multiply
    997,370x = 2,137,624 × 2,137,624
  4. Step 4: Simplify right side
    997,370x = 4,569,436,365,376
  5. Step 5: Solve for x
    x = 4,569,436,365,376/997,370
  6. Step 6: Final answer
    x = 4,581,485.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.