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Finding the Third Proportional to 999,500 and 1,461,765

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Solution

The third proportional to 999,500 and 1,461,765 is: 2,137,825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,500 : 1,461,765 = 1,461,765 : x
  2. Step 2: Convert to fraction form
    999,500/1,461,765 = 1,461,765/x
  3. Step 3: Cross multiply
    999,500x = 1,461,765 × 1,461,765
  4. Step 4: Simplify right side
    999,500x = 2,136,756,915,225
  5. Step 5: Solve for x
    x = 2,136,756,915,225/999,500
  6. Step 6: Final answer
    x = 2,137,825.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.