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Finding the Third Proportional to 698,193 and 1,520,800.50

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Solution

The third proportional to 698,193 and 1,520,800.50 is: 3,312,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,193 : 1,520,800.50 = 1,520,800.50 : x
  2. Step 2: Convert to fraction form
    698,193/1,520,800.50 = 1,520,800.50/x
  3. Step 3: Cross multiply
    698,193x = 1,520,800.50 × 1,520,800.50
  4. Step 4: Simplify right side
    698,193x = 2,312,834,160,800.25
  5. Step 5: Solve for x
    x = 2,312,834,160,800.25/698,193
  6. Step 6: Final answer
    x = 3,312,600.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.