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Finding the Third Proportional to 698,416.50 and 1,534,002

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Solution

The third proportional to 698,416.50 and 1,534,002 is: 3,369,281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,416.50 : 1,534,002 = 1,534,002 : x
  2. Step 2: Convert to fraction form
    698,416.50/1,534,002 = 1,534,002/x
  3. Step 3: Cross multiply
    698,416.50x = 1,534,002 × 1,534,002
  4. Step 4: Simplify right side
    698,416.50x = 2,353,162,136,004
  5. Step 5: Solve for x
    x = 2,353,162,136,004/698,416.50
  6. Step 6: Final answer
    x = 3,369,281.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.